Finite graphs in latex

asked 2017-11-11 05:54:21 +0200

chebolu
21 ●1 ●1 ●2

I want to have a finite graph G on 10 vertices in my latex document. I thought the easiest way to get it is to first draw it sage notebook using the graph_editor(). Then use latex(G) to get the latex code and copy and paste it. But when I do this, I keep getting errors. It says undefined control sequence for \Vertex..

Is there any example which will walk me through these steps? Many thanks for your help,

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answered 2017-11-11 15:44:09 +0200

Sébastien
3153 ●5 ●39 ●85 http://www.slabbe.org/

updated 2017-11-11 15:45:07 +0200

After installing dot2tex with

sage -i dot2tex

and with graphviz installed, you may create a tikzpicture from the positions of vertices decided by graphviz:

sage: G = graphs.AztecDiamondGraph(2)
sage: G.latex_options().set_options(format='dot2tex', prog='dot', edge_labels=True, color_by_label=False)

The tikzpicture code is:

sage: latex(G)
\begin{tikzpicture}[>=latex,line join=bevel,]
%%
\node (node_9) at (26.5bp,8.5bp) [draw,draw=none] {$\left(2, 3\right)$};
  \node (node_8) at (61.5bp,61.5bp) [draw,draw=none] {$\left(2, 2\right)$};
  \node (node_7) at (90.5bp,114.5bp) [draw,draw=none] {$\left(2, 1\right)$};
  \node (node_6) at (114.5bp,167.5bp) [draw,draw=none] {$\left(2, 0\right)$};
  \node (node_5) at (14.5bp,61.5bp) [draw,draw=none] {$\left(1, 3\right)$};
  \node (node_4) at (32.5bp,114.5bp) [draw,draw=none] {$\left(1, 2\right)$};
  \node (node_3) at (67.5bp,167.5bp) [draw,draw=none] {$\left(1, 1\right)$};
  \node (node_2) at (102.5bp,220.5bp) [draw,draw=none] {$\left(1, 0\right)$};
  \node (node_1) at (20.5bp,167.5bp) [draw,draw=none] {$\left(0, 2\right)$};
  \node (node_0) at (32.5bp,220.5bp) [draw,draw=none] {$\left(0, 1\right)$};
  \node (node_11) at (96.5bp,8.5bp) [draw,draw=none] {$\left(3, 2\right)$};
  \node (node_10) at (108.5bp,61.5bp) [draw,draw=none] {$\left(3, 1\right)$};
  \draw [black,] (node_0) ..controls (44.282bp,202.33bp) and (55.687bp,185.71bp)  .. (node_3);
  \draw [black,] (node_4) ..controls (42.262bp,96.332bp) and (51.712bp,79.713bp)  .. (node_8);
  \draw [black,] (node_4) ..controls (26.441bp,96.332bp) and (20.575bp,79.713bp)  .. (node_5);
  \draw [black,] (node_8) ..controls (49.718bp,43.332bp) and (38.313bp,26.713bp)  .. (node_9);
  \draw [black,] (node_3) ..controls (55.718bp,149.33bp) and (44.313bp,132.71bp)  .. (node_4);
  \draw [black,] (node_6) ..controls (106.42bp,149.33bp) and (98.6bp,132.71bp)  .. (node_7);
  \draw [black,] (node_5) ..controls (18.539bp,43.332bp) and (22.45bp,26.713bp)  .. (node_9);
  \draw [black,] (node_8) ..controls (73.282bp,43.332bp) and (84.687bp,26.713bp)  .. (node_11);
  \draw [black,] (node_1) ..controls (24.539bp,149.33bp) and (28.45bp,132.71bp)  .. (node_4);
  \draw [black,] (node_2) ..controls (90.718bp,202.33bp) and (79.313bp,185.71bp)  .. (node_3);
  \draw [black,] (node_7) ..controls (80.738bp,96.332bp) and (71.288bp,79.713bp)  .. (node_8);
  \draw [black,] (node_2) ..controls (106.54bp,202.33bp) and (110.45bp,185.71bp)  .. (node_6);
  \draw [black,] (node_0) ..controls (28.461bp,202.33bp) and (24.55bp,185.71bp)  .. (node_1);
  \draw [black,] (node_10) ..controls (104.46bp,43.332bp) and (100.55bp,26.713bp)  .. (node_11);
  \draw [black,] (node_7) ..controls (96.559bp,96.332bp) and (102.42bp,79.713bp)  .. (node_10);
  \draw [black,] (node_3) ..controls (75.242bp,149.33bp) and (82.737bp,132.71bp)  .. (node_7);
%
\end{tikzpicture}

You may get a preview:

sage: view(G)

image description

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Comments

Note that with this method, graphviz recomputes the positions of the vertices. In the case of the Aztec diamond, the positions are set to fit within the integer lattice ZZ^2.

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