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example_10013_combination_10
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \draw [-] (0.2,0) node [above] {$0 $}; \end{tikzpicture} \end{document}
example_10013_combination_17
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \draw [-] (0.2,0) node [above] {$0 $}; \draw [-] (2.7,1.5) node [right, font=\small] {$h\!+\!\gamma\!-\!\gamma t $}; \draw [-] (5.4,1.5) node [right, font=\small] {$h\!-\!3\gamma\!+\!\gamma t $}; \draw [-] (0,-2) node [left] {$h\!-\!\gamma$}; \node at (2,0) [circle,fill,inner sep=1pt]{}; \node at (6,0) [circle,fill,inner sep=1pt]{}; \node at (4,0) [circle,fill,inner sep=1pt]{}; \node at (0,0) [circle,fill,inner sep=1pt]{}; \end{tikzpicture} \end{document}
example_10013_combination_14
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \draw [-] (0.2,0) node [above] {$0 $}; \draw [-] (2.7,1.5) node [right, font=\small] {$h\!+\!\gamma\!-\!\gamma t $}; \draw [-] (5.4,1.5) node [right, font=\small] {$h\!-\!3\gamma\!+\!\gamma t $}; \draw [-] (0,-2) node [left] {$h\!-\!\gamma$}; \node at (2,0) [circle,fill,inner sep=1pt]{}; \end{tikzpicture} \end{document}
example_10013_combination_13
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \draw [-] (0.2,0) node [above] {$0 $}; \draw [-] (2.7,1.5) node [right, font=\small] {$h\!+\!\gamma\!-\!\gamma t $}; \draw [-] (5.4,1.5) node [right, font=\small] {$h\!-\!3\gamma\!+\!\gamma t $}; \draw [-] (0,-2) node [left] {$h\!-\!\gamma$}; \end{tikzpicture} \end{document}
example_10013_combination_8
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \end{tikzpicture} \end{document}
example_10013_combination_6
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \end{tikzpicture} \end{document}
example_10013_combination_1
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \end{tikzpicture} \end{document}
example_10013_combination_12
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \draw [-] (0.2,0) node [above] {$0 $}; \draw [-] (2.7,1.5) node [right, font=\small] {$h\!+\!\gamma\!-\!\gamma t $}; \draw [-] (5.4,1.5) node [right, font=\small] {$h\!-\!3\gamma\!+\!\gamma t $}; \end{tikzpicture} \end{document}
example_10013_combination_15
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \draw [-] (0.2,0) node [above] {$0 $}; \draw [-] (2.7,1.5) node [right, font=\small] {$h\!+\!\gamma\!-\!\gamma t $}; \draw [-] (5.4,1.5) node [right, font=\small] {$h\!-\!3\gamma\!+\!\gamma t $}; \draw [-] (0,-2) node [left] {$h\!-\!\gamma$}; \node at (2,0) [circle,fill,inner sep=1pt]{}; \node at (6,0) [circle,fill,inner sep=1pt]{}; \end{tikzpicture} \end{document}
example_10013_combination_7
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \end{tikzpicture} \end{document}
example_10013_combination_9
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \end{tikzpicture} \end{document}
example_10013_main
\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usepackage{color} \usetikzlibrary{arrows} \tikzset{cross/.style={cross out, draw=black, minimum size=2*(#1-\pgflinewidth), inner sep=0pt, outer sep=0pt}, cross/.default={5pt}} \usetikzlibrary{shapes.misc} \begin{document} \begin{tikzpicture}[scale=0.8] \draw[->] (0,0) -- (7,0) node[right] {}; \draw[->] (0,-2.5) -- (0,4.2) node[above] {}; \draw[scale=1,domain=0:2,smooth,variable=\x] plot ({\x},{3}); \draw[scale=1,domain=2:4,smooth,variable=\x] plot ({\x},{3-2.5*(\x-2)}); \draw[scale=1,domain=4:6,smooth,variable=\x] plot ({\x},{-2+2.5*(\x-4)}); \draw [-] (-0.2,3) node [above] {$h$}; \draw [-] (2,0) node [above] {$1$}; \draw [-] (4,0) node [above] {$ 2$}; \draw [-] (6,0) node [above] {$ 3$}; \draw [-] (0.2,0) node [above] {$0 $}; \draw [-] (2.7,1.5) node [right, font=\small] {$h\!+\!\gamma\!-\!\gamma t $}; \draw [-] (5.4,1.5) node [right, font=\small] {$h\!-\!3\gamma\!+\!\gamma t $}; \draw [-] (0,-2) node [left] {$h\!-\!\gamma$}; \node at (2,0) [circle,fill,inner sep=1pt]{}; \node at (6,0) [circle,fill,inner sep=1pt]{}; \node at (4,0) [circle,fill,inner sep=1pt]{}; \node at (0,0) [circle,fill,inner sep=1pt]{}; \node at (0,-2) [circle,fill,inner sep=1pt]{}; \draw [-] (7,-0.15) node [below] {$t$}; \end{tikzpicture} \end{document}
example_10014_main
\documentclass[runningheads]{llncs} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{arrows.meta,positioning,calc} \usetikzlibrary{graphs,graphs.standard,quotes} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[draw,circle] at (0, 0) (a) {$v_1$}; \node[draw,circle] at (5, 0) (b) {$v_2$}; \node[draw,circle] at (0, -3) (c) {$v_3$}; \node[draw,circle] at (5, -3) (d) {$v_4$}; % draw edges \draw[] (a) -- (b) node[above,midway] {$1$}; \draw[] (a) -- (c) node[midway, left] {$3$}; \draw[] (a) -- (d) node[near start, above] {$6$}; \draw[] (b) -- (c) node[near start, above] {$5$}; \draw[] (b) -- (d) node[near start, right] {$4$}; \draw[] (c) -- (d) node[midway, above] {$2$}; \end{tikzpicture} \end{document}
example_10015_main
\documentclass[runningheads]{llncs} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{arrows.meta,positioning,calc} \usetikzlibrary{graphs,graphs.standard,quotes} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node[draw,circle] at (0, 0) (a) {$v_1$}; \node[draw,circle] at (5, 0) (b) {$v_2$}; \node[draw,circle] at (0, -3) (c) {$v_3$}; \node[draw,circle] at (5, -3) (d) {$v_4$}; % draw edges \draw[] (a) -- (b) node[above,midway] {$1$}; \draw[] (a) -- (c) node[midway, left] {$3$}; \draw[] (b) -- (d) node[midway, right] {$4$}; \draw[] (b) -- (c) node[midway, above] {$5$}; \draw[] (c) -- (d) node[midway, above] {$2$}; \end{tikzpicture} \end{document}
example_10016_main
\documentclass[runningheads]{llncs} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{arrows.meta,positioning,calc} \usetikzlibrary{graphs,graphs.standard,quotes} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{tikzpicture} \node at (-4, 6) {Situation before adding edge $e$: }; \node[draw,circle, label = $L^i(u_1)$] at (0, 6) (a) {}; \node[draw,circle, label = $L^i(u_2)$] at (4, 6) (b) {}; \node at (-4.5, 4) {Case 1: $L^i(u_1) = L^i(u_2)$: }; \node[draw,circle, label = $L^{i+1}(u_1)+1$] at (0, 4) (c) {}; \node[draw,circle, label = $L^{i+1}(u_2)+1$] at (4, 4) (d) {}; \draw[] (c) -- (d) node[below,midway] {$i+1$}; \node at (-4.5, 2) {Case 2: $L^i(u_1) > L^i(u_2)$: }; \node[draw,circle, label = $L^{i+1}(u_2)+1$] at (0, 2) (c) {}; \node[draw,circle, label = $L^{i+1}(u_2)$] at (4, 2) (d) {}; \draw[] (c) -- (d) node[below,midway] {$i+1$}; \node at (-4.5, 0) {Case 3: $L^i(u_1) < L^i(u_2)$:}; \node[draw,circle, label = $L^{i+1}(u_1)$] at (0, 0) (c) {}; \node[draw,circle, label = $L^{i+1}(u_1)+1$] at (4, 0) (d) {}; \draw[] (c) -- (d) node[below,midway] {$i+1$}; \end{tikzpicture} \end{document}
example_10017_combination_1
\documentclass[a4paper,11pt]{article} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{arrows} \usetikzlibrary{decorations.markings} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amssymb} \usepackage{amsmath} \begin{document} \begin{tikzpicture}[level 1/.style={sibling distance=25mm}, level 2/.style={sibling distance=8mm}, level 3/.style={sibling distance=10mm}] \node [rectangle,draw] (a){$bacbaabada\$$} child {node [rectangle,draw] (b) {$bac$} child {node (c) {$b$}} child {node (d) {$a$}} child {node (e) {$c$}}} child {node [rectangle,draw] (f) {$baab$} child {node (g) {$b$}} child {node [rectangle,draw] (h) {$aa$} child {node (q) {$a$}} child {node (r) {$a$}}} child {node (i) {$b$}}} child {node [rectangle,draw] (j) {$ad$} child {node (k) {$a$}} child {node (l) {$d$}}} child {node (m) {$a$}} child {node (o) {$\$$} child [grow=right] {node (s) {$k = 1$} edge from parent[draw=none] child [grow=down] {node (u) {$k = 2$} edge from parent[draw=none] child [grow=down] {node (v) {$k = 3$} edge from parent[draw=none]}} child [grow=up] {node (t) {$k = 0$} edge from parent[draw=none]}}}; \end{tikzpicture} \end{document}
example_10017_main
\documentclass[a4paper,11pt]{article} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{arrows} \usetikzlibrary{decorations.markings} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amssymb} \usepackage{amsmath} \begin{document} \begin{tikzpicture}[level 1/.style={sibling distance=25mm}, level 2/.style={sibling distance=8mm}, level 3/.style={sibling distance=10mm}] \node [rectangle,draw] (a){$bacbaabada\$$} child {node [rectangle,draw] (b) {$bac$} child {node (c) {$b$}} child {node (d) {$a$}} child {node (e) {$c$}}} child {node [rectangle,draw] (f) {$baab$} child {node (g) {$b$}} child {node [rectangle,draw] (h) {$aa$} child {node (q) {$a$}} child {node (r) {$a$}}} child {node (i) {$b$}}} child {node [rectangle,draw] (j) {$ad$} child {node (k) {$a$}} child {node (l) {$d$}}} child {node (m) {$a$}} child {node (o) {$\$$} child [grow=right] {node (s) {$k = 1$} edge from parent[draw=none] child [grow=down] {node (u) {$k = 2$} edge from parent[draw=none] child [grow=down] {node (v) {$k = 3$} edge from parent[draw=none]}} child [grow=up] {node (t) {$k = 0$} edge from parent[draw=none]}}}; \end{tikzpicture} \end{document}
example_10018_combination_1
\documentclass[a4paper,11pt]{article} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{arrows} \usetikzlibrary{decorations.markings} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amssymb} \usepackage{amsmath} \begin{document} \begin{tikzpicture}[level 1/.style={sibling distance=25mm}, level 2/.style={sibling distance=8mm}, level 3/.style={sibling distance=10mm}] \node (a){$[1:11]$} child {node (b) {$[1:3]$} child {node (c) {$1$}} child {node (d) {$2$}} child {node (e) {$3$}}} child {node (f) {$[4:7]$} child {node (g) {$4$}} child {node (h) {$[5:6]$} child {node (q) {$5$}} child {node (r) {$6$}}} child {node (i) {$7$}}} child {node (j) {$[8:9]$} child {node (k) {$8$}} child {node (l) {$9$}}} child {node (m) {$10$}} child {node (o) {$11$} child [grow=right] {node (s) {$k = 1$} edge from parent[draw=none] child [grow=down] {node (u) {$k = 2$} edge from parent[draw=none] child [grow=down] {node (v) {$k = 3$} edge from parent[draw=none]}} child [grow=up] {node (t) {$k = 0$} edge from parent[draw=none]}}}; \end{tikzpicture} \end{document}
example_10018_main
\documentclass[a4paper,11pt]{article} \usepackage{tikz} \usetikzlibrary{positioning} \usetikzlibrary{arrows} \usetikzlibrary{decorations.markings} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amssymb} \usepackage{amsmath} \begin{document} \begin{tikzpicture}[level 1/.style={sibling distance=25mm}, level 2/.style={sibling distance=8mm}, level 3/.style={sibling distance=10mm}] \node (a){$[1:11]$} child {node (b) {$[1:3]$} child {node (c) {$1$}} child {node (d) {$2$}} child {node (e) {$3$}}} child {node (f) {$[4:7]$} child {node (g) {$4$}} child {node (h) {$[5:6]$} child {node (q) {$5$}} child {node (r) {$6$}}} child {node (i) {$7$}}} child {node (j) {$[8:9]$} child {node (k) {$8$}} child {node (l) {$9$}}} child {node (m) {$10$}} child {node (o) {$11$} child [grow=right] {node (s) {$k = 1$} edge from parent[draw=none] child [grow=down] {node (u) {$k = 2$} edge from parent[draw=none] child [grow=down] {node (v) {$k = 3$} edge from parent[draw=none]}} child [grow=up] {node (t) {$k = 0$} edge from parent[draw=none]}}}; \end{tikzpicture} \end{document}
example_10019_combination_3
\documentclass[twocolumn, switch]{article} \usepackage{amsmath, amsthm, amssymb, amsfonts} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{xcolor} \usepackage[colorlinks = true, linkcolor = purple, urlcolor = blue, citecolor = cyan, anchorcolor = black]{hyperref} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \end{document}
example_10019_combination_2
\documentclass[twocolumn, switch]{article} \usepackage{amsmath, amsthm, amssymb, amsfonts} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{xcolor} \usepackage[colorlinks = true, linkcolor = purple, urlcolor = blue, citecolor = cyan, anchorcolor = black]{hyperref} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \end{document}
example_10019_combination_1
\documentclass[twocolumn, switch]{article} \usepackage{amsmath, amsthm, amssymb, amsfonts} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{xcolor} \usepackage[colorlinks = true, linkcolor = purple, urlcolor = blue, citecolor = cyan, anchorcolor = black]{hyperref} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \end{tikzpicture} \end{document}
example_10019_main
\documentclass[twocolumn, switch]{article} \usepackage{amsmath, amsthm, amssymb, amsfonts} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{xcolor} \usepackage[colorlinks = true, linkcolor = purple, urlcolor = blue, citecolor = cyan, anchorcolor = black]{hyperref} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \end{document}
example_10020_main
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb,amsmath,amsfonts,amsthm,dsfont} \usepackage{tikz} \usepackage{xcolor} \newcommand{\eps}{\varepsilon} \begin{document} \begin{tikzpicture} \tikzset{vertex/.style={draw,circle, align=center}} \node[vertex] at (0, 0) (X) {X}; \node[vertex] at (1.5, 1.7) (Y) {Y}; \node[vertex] at (3, 0) (Z){Z}; \draw (X) -- node[above left] {$p_{X=Y} = \frac{3}{4}$} ++(Y); \draw (Y) -- node[above right] {$p_{Y=Z} = \frac{3}{4} \pm O(\eps)$} ++(Z); \draw (X) -- node[below] {$p_{X=Z} = \frac{3}{4}$} ++(Z); \end{tikzpicture} \end{document}
example_10021_main
\documentclass[11pt]{article} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amssymb,amsmath,amsfonts,amsthm,dsfont} \usepackage{tikz} \usepackage{xcolor} \newcommand{\eps}{\varepsilon} \begin{document} \begin{tikzpicture} \tikzset{vertex/.style={draw,circle, align=center}} \node[vertex] at (0, 0) (X) {X}; \node[vertex] at (1.5, 1.7) (Y) {Y}; \node[vertex] at (3, 0) (Z){Z}; \draw[thick] (X) -- node[above left] {$p_{X=Y} = 1-\Theta(\eps)$} ++(Y); \draw[thick] (Y) -- node[above right] {$p_{Y=Z} = \frac{3}{4} + O(\eps)$} ++(Z); \draw[dotted] (X) -- node[below] {$p_{X=Z} = \frac{3}{4}$} ++(Z); \end{tikzpicture} \end{document}
example_10022_combination_2
\documentclass[11pt]{amsart} \usepackage{color} \usepackage{amsfonts,amsmath,amsthm,amssymb,latexsym} \usepackage{tikz} \usetikzlibrary{matrix,calc,shapes} \tikzset{ treenode/.style = {shape=rectangle, rounded corners, draw, anchor=center, align=center, top color=white, bottom color=blue!20, inner sep=1ex}, decision/.style = {treenode, diamond, inner sep=0pt}, root/.style = {treenode, bottom color=red!30}, env/.style = {treenode}, finish/.style = {root, bottom color=green!40}, dummy/.style = {circle,draw} } \begin{document} \begin{tikzpicture}[-latex] \matrix (chart) [matrix of nodes, column sep = 3em, row sep = 5ex, column 1/.style = {nodes={decision}}, column 2/.style = {nodes={env}}] { & |[root]| FirstOrderSolve & \\ |[treenode]| AlgebraicSolve & & |[treenode]| LocalSolve \\ & |[finish]| BriotBouquetSolve & \\ }; \draw (chart-1-2) edge (chart-2-1) (chart-1-2) edge (chart-2-3) (chart-2-1) edge (chart-3-2) (chart-2-1) edge (chart-2-3) (chart-2-3) edge (chart-3-2); \end{tikzpicture} \end{document}
example_10022_combination_3
\documentclass[11pt]{amsart} \usepackage{color} \usepackage{amsfonts,amsmath,amsthm,amssymb,latexsym} \usepackage{tikz} \usetikzlibrary{matrix,calc,shapes} \tikzset{ treenode/.style = {shape=rectangle, rounded corners, draw, anchor=center, align=center, top color=white, bottom color=blue!20, inner sep=1ex}, decision/.style = {treenode, diamond, inner sep=0pt}, root/.style = {treenode, bottom color=red!30}, env/.style = {treenode}, finish/.style = {root, bottom color=green!40}, dummy/.style = {circle,draw} } \begin{document} \begin{tikzpicture}[-latex] \matrix (chart) [matrix of nodes, column sep = 3em, row sep = 5ex, column 1/.style = {nodes={decision}}, column 2/.style = {nodes={env}}] { & |[root]| FirstOrderSolve & \\ |[treenode]| AlgebraicSolve & & |[treenode]| LocalSolve \\ & |[finish]| BriotBouquetSolve & \\ }; \draw (chart-1-2) edge (chart-2-1) (chart-1-2) edge (chart-2-3) (chart-2-1) edge (chart-3-2) (chart-2-1) edge (chart-2-3) (chart-2-3) edge (chart-3-2); \end{tikzpicture} \end{document}
example_10022_combination_1
\documentclass[11pt]{amsart} \usepackage{color} \usepackage{amsfonts,amsmath,amsthm,amssymb,latexsym} \usepackage{tikz} \usetikzlibrary{matrix,calc,shapes} \tikzset{ treenode/.style = {shape=rectangle, rounded corners, draw, anchor=center, align=center, top color=white, bottom color=blue!20, inner sep=1ex}, decision/.style = {treenode, diamond, inner sep=0pt}, root/.style = {treenode, bottom color=red!30}, env/.style = {treenode}, finish/.style = {root, bottom color=green!40}, dummy/.style = {circle,draw} } \begin{document} \begin{tikzpicture}[-latex] \matrix (chart) [matrix of nodes, column sep = 3em, row sep = 5ex, column 1/.style = {nodes={decision}}, column 2/.style = {nodes={env}}] { & |[root]| FirstOrderSolve & \\ |[treenode]| AlgebraicSolve & & |[treenode]| LocalSolve \\ & |[finish]| BriotBouquetSolve & \\ }; \end{tikzpicture} \end{document}
example_10022_main
\documentclass[11pt]{amsart} \usepackage{color} \usepackage{amsfonts,amsmath,amsthm,amssymb,latexsym} \usepackage{tikz} \usetikzlibrary{matrix,calc,shapes} \tikzset{ treenode/.style = {shape=rectangle, rounded corners, draw, anchor=center, align=center, top color=white, bottom color=blue!20, inner sep=1ex}, decision/.style = {treenode, diamond, inner sep=0pt}, root/.style = {treenode, bottom color=red!30}, env/.style = {treenode}, finish/.style = {root, bottom color=green!40}, dummy/.style = {circle,draw} } \begin{document} \begin{tikzpicture}[-latex] \matrix (chart) [matrix of nodes, column sep = 3em, row sep = 5ex, column 1/.style = {nodes={decision}}, column 2/.style = {nodes={env}}] { & |[root]| FirstOrderSolve & \\ |[treenode]| AlgebraicSolve & & |[treenode]| LocalSolve \\ & |[finish]| BriotBouquetSolve & \\ }; \draw (chart-1-2) edge (chart-2-1) (chart-1-2) edge (chart-2-3) (chart-2-1) edge (chart-3-2) (chart-2-1) edge (chart-2-3) (chart-2-3) edge (chart-3-2); \end{tikzpicture} \end{document}
example_10023_combination_23
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \end{tikzpicture} \end{document}
example_10023_combination_18
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \end{tikzpicture} \end{document}
example_10023_combination_4
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \end{tikzpicture} \end{document}
example_10023_combination_17
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \end{tikzpicture} \end{document}
example_10023_combination_22
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \end{tikzpicture} \end{document}
example_10023_combination_33
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \draw [-triangle 60, very thick] (v12) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v13) at (1,1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v15) at (-0.5,-1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v16) at (1,-1.5) {}; \draw [-triangle 60] (v1) edge (v13); \draw [-triangle 60, very thick] (v13) edge (v14); \end{tikzpicture} \end{document}
example_10023_combination_41
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \draw [-triangle 60, very thick] (v12) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v13) at (1,1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v15) at (-0.5,-1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v16) at (1,-1.5) {}; \draw [-triangle 60] (v1) edge (v13); \draw [-triangle 60, very thick] (v13) edge (v14); \draw [-triangle 60, dashed] (v5) edge (v15); \draw [-triangle 60, dashed] (v15) edge (v16); \draw [-triangle 60, dashed] (v16) edge (v14); \draw [-triangle 60, dashed] (v7) edge (v14); \node at (1,0.8) {$e$}; \node at (4.4,0.8) {$U$}; \node at (0.4,2.4) {$\mathcal{P}$}; \node at (0.6,-1) {$\mathcal{Q}$}; \end{tikzpicture} \end{document}
example_10023_combination_2
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \end{tikzpicture} \end{document}
example_10023_combination_8
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \end{tikzpicture} \end{document}
example_10023_combination_30
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \draw [-triangle 60, very thick] (v12) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v13) at (1,1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v15) at (-0.5,-1.5) {}; \end{tikzpicture} \end{document}
example_10023_combination_39
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \draw [-triangle 60, very thick] (v12) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v13) at (1,1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v15) at (-0.5,-1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v16) at (1,-1.5) {}; \draw [-triangle 60] (v1) edge (v13); \draw [-triangle 60, very thick] (v13) edge (v14); \draw [-triangle 60, dashed] (v5) edge (v15); \draw [-triangle 60, dashed] (v15) edge (v16); \draw [-triangle 60, dashed] (v16) edge (v14); \draw [-triangle 60, dashed] (v7) edge (v14); \node at (1,0.8) {$e$}; \node at (4.4,0.8) {$U$}; \end{tikzpicture} \end{document}
example_10023_combination_6
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \end{tikzpicture} \end{document}
example_10023_combination_13
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \end{tikzpicture} \end{document}
example_10023_combination_14
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \end{tikzpicture} \end{document}
example_10023_combination_21
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \end{tikzpicture} \end{document}
example_10023_combination_38
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \draw [-triangle 60, very thick] (v12) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v13) at (1,1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v15) at (-0.5,-1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v16) at (1,-1.5) {}; \draw [-triangle 60] (v1) edge (v13); \draw [-triangle 60, very thick] (v13) edge (v14); \draw [-triangle 60, dashed] (v5) edge (v15); \draw [-triangle 60, dashed] (v15) edge (v16); \draw [-triangle 60, dashed] (v16) edge (v14); \draw [-triangle 60, dashed] (v7) edge (v14); \node at (1,0.8) {$e$}; \end{tikzpicture} \end{document}
example_10023_combination_7
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \end{tikzpicture} \end{document}
example_10023_combination_27
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \end{tikzpicture} \end{document}
example_10023_combination_29
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \draw [-triangle 60, very thick] (v12) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v13) at (1,1.5) {}; \end{tikzpicture} \end{document}
example_10023_combination_15
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \end{tikzpicture} \end{document}
example_10023_main
\documentclass[12pt,a4paper]{amsart} \usepackage{amsmath,amssymb,amsthm} \usepackage{tikz} \usetikzlibrary{arrows} \usepackage{xcolor} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \begin{document} \begin{tikzpicture} \draw (-2,0.5) rectangle (5,-3); \node (v14) at (1.5,-0.5) {$v$}; \node at (-1,-2.5) {$u$}; \node (v1) at (0.5,3.5) {$r$}; \node[circle,inner sep=0pt,draw,minimum size=5] (v2) at (-0.5,3) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v3) at (-0.5,2) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v4) at (-1,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v5) at (-1,-0.5) {}; \draw [-triangle 60] (v1) edge (v2); \draw [-triangle 60] (v2) edge (v3); \draw [-triangle 60] (v3) edge (v4); \draw [-triangle 60, very thick] (v4) edge (v5); \node[circle,inner sep=0pt,draw,minimum size=5] (v6) at (0,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v7) at (0,-0.5) {}; \draw [-triangle 60] (v1) edge (v3); \draw [-triangle 60] (v3) edge (v6); \draw [-triangle 60, very thick] (v6) edge (v7); \node[circle,inner sep=0pt,draw,minimum size=5] (v8) at (1.5,2.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v9) at (2,1) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v10) at (3.5,-0.5) {}; \draw [-triangle 60] (v1) edge (v8); \draw [-triangle 60] (v8) edge (v9); \draw [-triangle 60, very thick] (v9) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v11) at (2,3.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v12) at (3,2) {}; \draw [-triangle 60] (v1) edge (v11); \draw [-triangle 60] (v11) edge (v12); \draw [-triangle 60, very thick] (v12) edge (v10); \node[circle,inner sep=0pt,draw,minimum size=5] (v13) at (1,1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v15) at (-0.5,-1.5) {}; \node[circle,inner sep=0pt,draw,minimum size=5] (v16) at (1,-1.5) {}; \draw [-triangle 60] (v1) edge (v13); \draw [-triangle 60, very thick] (v13) edge (v14); \draw [-triangle 60, dashed] (v5) edge (v15); \draw [-triangle 60, dashed] (v15) edge (v16); \draw [-triangle 60, dashed] (v16) edge (v14); \draw [-triangle 60, dashed] (v7) edge (v14); \node at (1,0.8) {$e$}; \node at (4.4,0.8) {$U$}; \node at (0.4,2.4) {$\mathcal{P}$}; \node at (0.6,-1) {$\mathcal{Q}$}; \end{tikzpicture} \end{document}
example_10024_combination_1
\documentclass[10pt,letterpaper]{article} \usepackage{amsmath,amssymb} \usepackage[utf8x]{inputenc} \usepackage[table]{xcolor} \usepackage{graphicx,amsmath,amssymb,url} \usepackage{color} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \end{tikzpicture} \end{document}
example_10024_combination_2
\documentclass[10pt,letterpaper]{article} \usepackage{amsmath,amssymb} \usepackage[utf8x]{inputenc} \usepackage[table]{xcolor} \usepackage{graphicx,amsmath,amssymb,url} \usepackage{color} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \end{document}
example_10024_combination_3
\documentclass[10pt,letterpaper]{article} \usepackage{amsmath,amssymb} \usepackage[utf8x]{inputenc} \usepackage[table]{xcolor} \usepackage{graphicx,amsmath,amssymb,url} \usepackage{color} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \end{document}
example_10024_main
\documentclass[10pt,letterpaper]{article} \usepackage{amsmath,amssymb} \usepackage[utf8x]{inputenc} \usepackage[table]{xcolor} \usepackage{graphicx,amsmath,amssymb,url} \usepackage{color} \usepackage{tikz,xcolor,hyperref} \DeclareRobustCommand{\orcidicon}{ \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \hspace{-2mm} } \begin{document} \begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture} \end{document}
example_10025_combination_7
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \draw (4.9,2.9) ellipse (1.3cm and 0.8cm); \node at(3.5,5.3){$DS_{trans}$}; \node at(1.9,2.9){$DS_{m}$}; \node at(4.9,2.9){$DS_{app}$}; \end{tikzpicture} \end{document}
example_10025_combination_9
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \draw (4.9,2.9) ellipse (1.3cm and 0.8cm); \node at(3.5,5.3){$DS_{trans}$}; \node at(1.9,2.9){$DS_{m}$}; \node at(4.9,2.9){$DS_{app}$}; \node at(3.5,1.2){$DS_{mg}$}; \end{tikzpicture} \end{document}
example_10025_combination_8
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \draw (4.9,2.9) ellipse (1.3cm and 0.8cm); \node at(3.5,5.3){$DS_{trans}$}; \node at(1.9,2.9){$DS_{m}$}; \node at(4.9,2.9){$DS_{app}$}; \node at(3.5,1.2){$DS_{mg}$}; \end{tikzpicture} \end{document}
example_10025_combination_6
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \draw (4.9,2.9) ellipse (1.3cm and 0.8cm); \node at(3.5,5.3){$DS_{trans}$}; \node at(1.9,2.9){$DS_{m}$}; \end{tikzpicture} \end{document}
example_10025_combination_1
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \end{tikzpicture} \end{document}
example_10025_combination_2
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \end{tikzpicture} \end{document}
example_10025_combination_5
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \draw (4.9,2.9) ellipse (1.3cm and 0.8cm); \node at(3.5,5.3){$DS_{trans}$}; \end{tikzpicture} \end{document}
example_10025_combination_4
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \draw (4.9,2.9) ellipse (1.3cm and 0.8cm); \end{tikzpicture} \end{document}
example_10025_combination_3
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \end{tikzpicture} \end{document}
example_10025_main
\documentclass[a4paper]{amsart} \usepackage{color} \usepackage{tikz} \usepackage{amssymb,amsmath,amsthm,amstext,amsfonts} \usepackage{amsmath} \usepackage{amsmath,amsthm,amssymb,amscd} \usepackage[colorlinks,linkcolor=black,anchorcolor=black,citecolor=black,hyperindex=true,CJKbookmarks=true]{hyperref} \begin{document} \begin{tikzpicture} \draw (0,0) rectangle (7,5); \draw (3.5,2.4) ellipse (3.3cm and 2.1cm); \draw (2.0,2.9) ellipse (1.3cm and 0.8cm); \draw (4.9,2.9) ellipse (1.3cm and 0.8cm); \node at(3.5,5.3){$DS_{trans}$}; \node at(1.9,2.9){$DS_{m}$}; \node at(4.9,2.9){$DS_{app}$}; \node at(3.5,1.2){$DS_{mg}$}; \end{tikzpicture} \end{document}
example_10026_combination_2
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \draw (0,0) -- (3,2); \draw (3,0) -- (0,2); \end{tikzpicture} \end{document}
example_10026_combination_5
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \draw (0,0) -- (3,2); \draw (3,0) -- (0,2); \node at (3.3,2){$p_2^\prime$}; \node at (-0.3,2){$p_1$}; \node at (3.3,0){$p_1^\prime$}; \end{tikzpicture} \end{document}
example_10026_combination_4
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \draw (0,0) -- (3,2); \draw (3,0) -- (0,2); \node at (3.3,2){$p_2^\prime$}; \node at (-0.3,2){$p_1$}; \end{tikzpicture} \end{document}
example_10026_combination_3
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \draw (0,0) -- (3,2); \draw (3,0) -- (0,2); \node at (3.3,2){$p_2^\prime$}; \end{tikzpicture} \end{document}
example_10026_combination_6
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \draw (0,0) -- (3,2); \draw (3,0) -- (0,2); \node at (3.3,2){$p_2^\prime$}; \node at (-0.3,2){$p_1$}; \node at (3.3,0){$p_1^\prime$}; \node at (-0.3,0){$p_2$}; \end{tikzpicture} \end{document}
example_10026_combination_1
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \draw (0,0) -- (3,2); \end{tikzpicture} \end{document}
example_10026_main
\documentclass[a4paper,11pt]{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \draw (0,0) -- (3,2); \draw (3,0) -- (0,2); \node at (3.3,2){$p_2^\prime$}; \node at (-0.3,2){$p_1$}; \node at (3.3,0){$p_1^\prime$}; \node at (-0.3,0){$p_2$}; \end{tikzpicture} \end{document}
example_10027_combination_5
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \draw (11001) -- (11010) -- (20010); \draw (11100) -- (20100) -- (20112); \end{tikzpicture} \end{document}
example_10027_combination_2
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \end{tikzpicture} \end{document}
example_10027_combination_3
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \end{tikzpicture} \end{document}
example_10027_combination_4
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \draw (11001) -- (11010) -- (20010); \end{tikzpicture} \end{document}
example_10027_combination_7
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \draw (11001) -- (11010) -- (20010); \draw (11100) -- (20100) -- (20112); \draw (21000) -- (21012) -- (00012); \draw (21102) -- (00102) -- (00111); \end{tikzpicture} \end{document}
example_10027_combination_9
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \draw (11001) -- (11010) -- (20010); \draw (11100) -- (20100) -- (20112); \draw (21000) -- (21012) -- (00012); \draw (21102) -- (00102) -- (00111); \draw (01002) -- (01011) -- (10011); \end{tikzpicture} \end{document}
example_10027_combination_8
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \draw (11001) -- (11010) -- (20010); \draw (11100) -- (20100) -- (20112); \draw (21000) -- (21012) -- (00012); \draw (21102) -- (00102) -- (00111); \draw (01002) -- (01011) -- (10011); \end{tikzpicture} \end{document}
example_10027_combination_1
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \end{tikzpicture} \end{document}
example_10027_combination_6
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \draw (11001) -- (11010) -- (20010); \draw (11100) -- (20100) -- (20112); \draw (21000) -- (21012) -- (00012); \end{tikzpicture} \end{document}
example_10027_main
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \draw (0,0) node (01110) [label=left:\scriptsize(01110)] {} -- ++(-120:2.0cm) node (01101) [label=left:\scriptsize(01101)] {} -- ++(-120:4.0cm) node (01011) [label=right:\scriptsize(01011)] {} -- ++(-120:4.0cm) node (00111) [label=left:\scriptsize(00111)] {} -- ++(-120:2.0cm) node (21111) [label=left:\scriptsize(21111)] {} -- ++(0:2.0cm) node (21102) [label={[shift={(-90:0.8)}]:\scriptsize(21102)}] {} -- ++(0:4.0cm) node (21012) [label={[shift={(90:-0.3)}]:\scriptsize(21012)}] {} -- ++(0:4.0cm) node (20112) [label={[shift={(-90:0.8)}]:\scriptsize(20112)}] {} -- ++(0:2.0cm) node (11112) [label=right:\scriptsize(11112)] {} -- ++(120:2.0cm) node (11100) [label=right:\scriptsize(11100)] {} -- ++(120:4.0cm) node (11010) [label=left:\scriptsize(11010)] {} -- ++(120:4.0cm) node (10110) [label=right:\scriptsize(10110)] {} -- (01110) {}; \draw (01101) -- ++(-60:2.0cm) node (10101) [label={[shift={(-90:0.8)}]:\scriptsize(10101)}] {} -- ++(0:4.0cm) node (11001) [label={[shift={(90:-0.3)}]:\scriptsize(11001)}] {} -- ++(0:2.0cm) node (20001) [label=right:\scriptsize(20001)] {} -- ++(-120:2.0cm) node (20010) [label=right:\scriptsize(20010)] {} -- ++(-120:4.0cm) node (20100) [label=left:\scriptsize(20100)] {} -- ++(-120:4.0cm) node (21000) [label=right:\scriptsize(21000)] {} -- ++(-120:2.0cm) node (00000) [label=right:\scriptsize 0] {} -- ++(120:2.0cm) node (00012) [label=left:\scriptsize(00012)] {} -- ++(120:4.0cm) node (00102) [label=right:\scriptsize(00102)] {} -- ++(120:4.0cm) node (01002) [label=left:\scriptsize(01002)] {} -- ++(120:2.0cm) node (10002) [label=left:\scriptsize(10002)] {} -- ++(0:2.0cm) node (10011) [label={[shift={(90:-0.3)}]:\scriptsize(10011)}] {} -- (10101) {}; \draw (10101) -- (10110); \draw (11001) -- (11010) -- (20010); \draw (11100) -- (20100) -- (20112); \draw (21000) -- (21012) -- (00012); \draw (21102) -- (00102) -- (00111); \draw (01002) -- (01011) -- (10011); \end{tikzpicture} \end{document}
example_10028_combination_10
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \end{tikzpicture} \end{document}
example_10028_combination_2
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \end{tikzpicture} \end{document}
example_10028_combination_5
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \end{tikzpicture} \end{document}
example_10028_combination_16
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \draw (0,1)--(2.4,3.4); \draw[red] (2.4,3.4)--(1,0); \draw (3.4,2.4)--(2.4,0); \draw (0,2.4)--(2.4,3.4); \draw[blue,dotted] (3.4,2.4)--(0,1); \end{tikzpicture} \end{document}
example_10028_combination_4
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \end{tikzpicture} \end{document}
example_10028_combination_11
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \draw (0,1)--(2.4,3.4); \end{tikzpicture} \end{document}
example_10028_combination_3
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \end{tikzpicture} \end{document}
example_10028_combination_12
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \draw (0,1)--(2.4,3.4); \draw[red] (2.4,3.4)--(1,0); \end{tikzpicture} \end{document}
example_10028_combination_15
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \draw (0,1)--(2.4,3.4); \draw[red] (2.4,3.4)--(1,0); \draw (3.4,2.4)--(2.4,0); \draw (0,2.4)--(2.4,3.4); \draw[blue,dotted] (3.4,2.4)--(0,1); \end{tikzpicture} \end{document}
example_10028_combination_7
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \end{tikzpicture} \end{document}
example_10028_combination_9
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \end{tikzpicture} \end{document}
example_10028_combination_8
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \end{tikzpicture} \end{document}
example_10028_combination_14
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \draw (0,1)--(2.4,3.4); \draw[red] (2.4,3.4)--(1,0); \draw (3.4,2.4)--(2.4,0); \draw (0,2.4)--(2.4,3.4); \end{tikzpicture} \end{document}
example_10028_combination_6
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \end{tikzpicture} \end{document}
example_10028_combination_13
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \draw (0,1)--(2.4,3.4); \draw[red] (2.4,3.4)--(1,0); \draw (3.4,2.4)--(2.4,0); \end{tikzpicture} \end{document}
example_10028_combination_1
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \end{tikzpicture} \end{document}
example_10028_main
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.5] \fill (2.4,3.4) circle (0.1) node[above]{\tiny 6}; \fill (3.4,2.4) circle (0.1) node[right]{\tiny 5}; \fill (3.4,1) circle (0.1) node[right]{\tiny 4}; \fill (2.4,0) circle (0.1) node[below]{\tiny 3}; \fill (1,0) circle (0.1) node[below]{\tiny 2}; \fill (0,1) circle (0.1) node[left]{\tiny 1}; \fill (0,2.4) circle (0.1) node[left]{\tiny 0}; \fill (1,3.4) circle (0.1) node[above]{\tiny 7}; \draw (1,3.4)--(2.4,3.4)--(3.4,2.4)--(3.4,1)--(2.4,0)--(1,0)--(0,1)--(0,2.4)--(1,3.4); \draw (3.4,2.4)--(1,0); \draw (0,1)--(2.4,3.4); \draw[red] (2.4,3.4)--(1,0); \draw (3.4,2.4)--(2.4,0); \draw (0,2.4)--(2.4,3.4); \draw[blue,dotted] (3.4,2.4)--(0,1); \end{tikzpicture} \end{document}
example_10029_combination_21
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \node (000) at (0,-2) [label=below:\scriptsize(000)] {}; \node (100) at (-3,0) [label=left:\scriptsize(100)] {}; \node (001) at (3,0) [label=right:\scriptsize(001)] {}; \node (101) at (-0.5,1) [label=below:\scriptsize(101)] {}; \node (010) at (0.5,3) [label=above:\scriptsize(010)] {}; \node (011) at (-3,4) [label=left:\scriptsize(011)] {}; \node (110) at (3,4) [label=right:\scriptsize(110)] {}; \node (111) at (0,6) [label=above:\scriptsize(111)] {}; \draw (000) -- (100); \draw (000) -- (001); \draw (100) -- (101); \draw (100) -- (010); \draw (001) -- (101); \draw (001) -- (010); \draw (101) -- (110); \draw (101) -- (011); \draw (010) -- (110); \draw (010) -- (011); \draw (110) -- (111); \draw (011) -- (111); \end{tikzpicture} \end{document}
example_10029_combination_14
\documentclass[11pt,a4paper,oneside]{report} \usepackage{amssymb} \usepackage{amsmath} \usepackage[utf8]{inputenc} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{matrix} \begin{document} \begin{tikzpicture}[scale=0.4] \tikzstyle{every node}=[draw,circle,fill=white,minimum size=4pt,inner sep=0pt] \node (000) at (0,-2) [label=below:\scriptsize(000)] {}; \node (100) at (-3,0) [label=left:\scriptsize(100)] {}; \node (001) at (3,0) [label=right:\scriptsize(001)] {}; \node (101) at (-0.5,1) [label=below:\scriptsize(101)] {}; \node (010) at (0.5,3) [label=above:\scriptsize(010)] {}; \node (011) at (-3,4) [label=left:\scriptsize(011)] {}; \node (110) at (3,4) [label=right:\scriptsize(110)] {}; \node (111) at (0,6) [label=above:\scriptsize(111)] {}; \draw (000) -- (100); \draw (000) -- (001); \draw (100) -- (101); \draw (100) -- (010); \draw (001) -- (101); \draw (001) -- (010); \end{tikzpicture} \end{document}