% whole medial graph: n=20 seed=59 graph_seed=59 min_degree=5 source=5 recognised treads=[1, 2] |M(G)|=54
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\\[-0.25ex]
{\scriptsize source graph $G$}
\\[1.0ex]
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\node[elbl] at (0.047,-0.162) [yshift=-4.8pt] {$10\!{-}\!9$};
\node[elbl] at (0.029,-0.139) [yshift=-4.8pt] {$10\!{-}\!11$};
\node[elbl] at (0.016,-0.152) [yshift=-4.8pt] {$10\!{-}\!17$};
\node[elbl] at (0.022,-0.162) [yshift=-4.8pt] {$10\!{-}\!18$};
\node[elbl] at (0.054,-0.113) [yshift=-4.8pt] {$11\!{-}\!3$};
\node[elbl] at (0.019,-0.122) [yshift=-4.8pt] {$11\!{-}\!12$};
\node[elbl] at (0.006,-0.136) [yshift=-4.8pt] {$11\!{-}\!16$};
\node[elbl] at (0.010,-0.144) [yshift=-4.8pt] {$11\!{-}\!17$};
\node[elbl] at (0.049,-0.104) [yshift=-4.8pt] {$12\!{-}\!3$};
\node[elbl] at (0.008,-0.095) [yshift=-4.8pt] {$12\!{-}\!13$};
\node[elbl] at (-0.004,-0.116) [yshift=-4.8pt] {$12\!{-}\!15$};
\node[elbl] at (0.001,-0.127) [yshift=-4.8pt] {$12\!{-}\!16$};
\node[elbl] at (0.043,-0.086) [yshift=-4.8pt] {$13\!{-}\!3$};
\node[elbl] at (-0.008,-0.025) [yshift=-4.8pt] {$13\!{-}\!4$};
\node[elbl] at (-0.023,-0.079) [yshift=-4.8pt] {$13\!{-}\!14$};
\node[elbl] at (-0.011,-0.098) [yshift=-4.8pt] {$13\!{-}\!15$};
\node[elbl] at (-0.033,-0.027) [yshift=-4.8pt] {$14\!{-}\!4$};
\node[elbl] at (-0.088,-0.064) [yshift=-4.8pt] {$14\!{-}\!5$};
\node[elbl] at (-0.060,-0.134) [yshift=-4.8pt] {$14\!{-}\!6$};
\node[elbl] at (-0.035,-0.100) [yshift=-4.8pt] {$14\!{-}\!15$};
\node[elbl] at (-0.048,-0.153) [yshift=-4.8pt] {$15\!{-}\!6$};
\node[elbl] at (-0.018,-0.130) [yshift=-4.8pt] {$15\!{-}\!16$};
\node[elbl] at (-0.042,-0.164) [yshift=-4.8pt] {$16\!{-}\!6$};
\node[elbl] at (-0.008,-0.149) [yshift=-4.8pt] {$16\!{-}\!17$};
\node[elbl] at (-0.038,-0.171) [yshift=-4.8pt] {$17\!{-}\!6$};
\node[elbl] at (0.003,-0.167) [yshift=-4.8pt] {$17\!{-}\!18$};
\node[elbl] at (-0.031,-0.182) [yshift=-4.8pt] {$18\!{-}\!6$};
\node[elbl] at (0.035,-0.177) [yshift=-4.8pt] {$18\!{-}\!9$};
\node[elbl] at (0.021,-0.197) [yshift=-4.8pt] {$18\!{-}\!19$};
\node[elbl] at (-0.021,-0.202) [yshift=-4.8pt] {$19\!{-}\!6$};
\node[elbl] at (0.025,-0.260) [yshift=-4.8pt] {$19\!{-}\!7$};
\node[elbl] at (0.085,-0.231) [yshift=-4.8pt] {$19\!{-}\!8$};
\node[elbl] at (0.045,-0.197) [yshift=-4.8pt] {$19\!{-}\!9$};
\node[dlbl] at (-0.250,0.000) [yshift=5.0pt] {4};
\node[dlbl] at (-0.009,0.230) [yshift=5.0pt] {2};
\node[dlbl] at (-0.286,-0.310) [yshift=5.0pt] {6};
\node[dlbl] at (0.292,-0.264) [yshift=5.0pt] {3,18};
\node[dlbl] at (0.260,-0.368) [yshift=5.0pt] {5,17};
\node[dlbl] at (0.099,-0.211) [yshift=5.0pt] {13,14};
\node[dlbl] at (0.047,-0.162) [yshift=5.0pt] {11,12};
\node[dlbl] at (0.029,-0.139) [yshift=5.0pt] {7,8};
\node[dlbl] at (0.019,-0.122) [yshift=5.0pt] {5,6};
\node[dlbl] at (0.043,-0.086) [yshift=5.0pt] {1,2};
\node[dlbl] at (-0.011,-0.098) [yshift=5.0pt] {3,13};
\node[dlbl] at (-0.033,-0.027) [yshift=5.0pt] {0};
\node[dlbl] at (-0.060,-0.134) [yshift=5.0pt] {12};
\node[dlbl] at (-0.018,-0.130) [yshift=5.0pt] {4,11};
\node[dlbl] at (-0.008,-0.149) [yshift=5.0pt] {9,10};
\node[dlbl] at (0.003,-0.167) [yshift=5.0pt] {9,10};
\node[dlbl] at (0.021,-0.197) [yshift=5.0pt] {8,15};
\node[dlbl] at (0.025,-0.260) [yshift=5.0pt] {7,16};
\draw[cut] (-0.075,-0.032)--(-0.101,-0.097);
\node[cutlbl] at (-0.120,-0.142) {cut 1};
\draw[cut] (-0.026,-0.044)--(-0.020,-0.114);
\node[cutlbl] at (-0.016,-0.162) {cut 2};
\draw[cut] (0.058,-0.138)--(0.041,-0.070);
\node[cutlbl] at (0.030,-0.023) {cut 3};
\draw[cut] (-0.004,-0.102)--(0.016,-0.169);
\node[cutlbl] at (0.029,-0.217) {cut 4};
\draw[cut] (0.085,-0.146)--(0.034,-0.097);
\node[cutlbl] at (-0.001,-0.063) {cut 5};
\draw[cut] (0.035,-0.212)--(0.035,-0.142);
\node[cutlbl] at (0.034,-0.093) {cut 6};
\draw[cut] (0.079,-0.183)--(0.144,-0.158);
\node[cutlbl] at (0.190,-0.142) {cut 7};
\end{tikzpicture}
\\[-0.25ex]
{\scriptsize medial graph $M(G)$ at edge midpoints}
\end{tabular}