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| Keywords: Medial graph example.svg en Example of a plane graph in blue and its medial graph in red <source lang latex > \documentclass article \thispagestyle empty \usepackage tikz \def\nodeDist 2 5cm \tikzstyle origVertex draw blue fill shape circle \tikzstyle newVertex draw red fill shape circle \tikzstyle invisibleVertex shape circle \tikzstyle origEdge blue \tikzstyle newEdge red densely dashed \tikzstyle invisibleEdge draw opacity 0 \begin document \begin tikzpicture node distance \nodeDist semithick \nodeorigVertex 0 ; \nodeorigVertex 1 right of 0 ; \nodeorigVertex 2 above of 0 ; \nodeorigVertex 3 above of 1 ; \nodeorigVertex 4 above of 2 ; \path 0 edgeorigEdge out -45 in -135 nodeinvisibleVertex m0 1 edgeorigEdge out 45 in 135 nodeinvisibleVertex m1 1 edgeorigEdge nodeinvisibleVertex m2 2 1 edgeorigEdge nodeinvisibleVertex m3 3 2 edgeorigEdge nodeinvisibleVertex m4 3 edgeorigEdge nodeinvisibleVertex m5 4 3 edgeorigEdge out 125 in 55 looseness 30 nodeinvisibleVertex m6 3 ; \path m0 edgeinvisibleEdge out 135 in -135 m1 edgeinvisibleEdge out 45 in -45 m1 edgeinvisibleEdge out -145 in -135 looseness 1 7 m2 edgeinvisibleEdge out -35 in -45 looseness 1 7 m3 m1 edgeinvisibleEdge m2 edgeinvisibleEdge m3 m2 edgeinvisibleEdge m4 edgeinvisibleEdge out 135 in -135 m5 m3 edgeinvisibleEdge m4 edgeinvisibleEdge out 45 in 15 m6 m4 edgeinvisibleEdge m5 edgeinvisibleEdge out 90 in 165 m6 m5 edgeinvisibleEdge out 125 in 55 looseness 30 m5 m6 edgeinvisibleEdge out -125 in -55 looseness 15 m6 ; \end tikzpicture \begin tikzpicture node distance \nodeDist semithick \nodeorigVertex 0 ; \nodeorigVertex 1 right of 0 ; \nodeorigVertex 2 above of 0 ; \nodeorigVertex 3 above of 1 ; \nodeorigVertex 4 above of 2 ; \path 0 edgeorigEdge out -45 in -135 nodenewVertex m0 1 edgeorigEdge out 45 in 135 nodenewVertex m1 1 edgeorigEdge nodenewVertex m2 2 1 edgeorigEdge nodenewVertex m3 3 2 edgeorigEdge nodenewVertex m4 3 edgeorigEdge nodenewVertex m5 4 3 edgeorigEdge out 125 in 55 looseness 30 nodenewVertex m6 3 ; \path m0 edgenewEdge out 135 in -135 m1 edgenewEdge out 45 in -45 m1 edgenewEdge out -145 in -135 looseness 1 7 m2 edgenewEdge out -35 in -45 looseness 1 7 m3 m1 edgenewEdge m2 edgenewEdge m3 m2 edgenewEdge m4 edgenewEdge out 135 in -135 m5 m3 edgenewEdge m4 edgenewEdge out 45 in 15 m6 m4 edgenewEdge m5 edgenewEdge out 90 in 165 m6 m5 edgenewEdge out 125 in 55 looseness 30 m5 m6 edgenewEdge out -125 in -55 looseness 15 m6 ; \end tikzpicture \begin tikzpicture node distance \nodeDist semithick \nodeinvisibleVertex 0 ; \nodeinvisibleVertex 1 right of 0 ; \nodeinvisibleVertex 2 above of 0 ; \nodeinvisibleVertex 3 above of 1 ; \nodeinvisibleVertex 4 above of 2 ; \path 0 edgeinvisibleEdge out -45 in -135 nodenewVertex m0 1 edgeinvisibleEdge out 45 in 135 nodenewVertex m1 1 edgeinvisibleEdge nodenewVertex m2 2 1 edgeinvisibleEdge nodenewVertex m3 3 2 edgeinvisibleEdge nodenewVertex m4 3 edgeinvisibleEdge nodenewVertex m5 4 3 edgeinvisibleEdge out 125 in 55 looseness 30 nodenewVertex m6 3 ; \path m0 edgenewEdge out 135 in -135 m1 edgenewEdge out 45 in -45 m1 edgenewEdge out -145 in -135 looseness 1 7 m2 edgenewEdge out -35 in -45 looseness 1 7 m3 m1 edgenewEdge m2 edgenewEdge m3 m2 edgenewEdge m4 edgenewEdge out 135 in -135 m5 m3 edgenewEdge m4 edgenewEdge out 45 in 15 m6 m4 edgenewEdge m5 edgenewEdge out 90 in 165 m6 m5 edgenewEdge out 125 in 55 looseness 30 m5 m6 edgenewEdge out -125 in -55 looseness 15 m6 ; \end tikzpicture \end document </source> Self 2012-12-08 Cc-zero Undirected planar graphs Images with LaTeX source code | ||||
