The TutteGraph() command returns the Tutte graph, a 3-regular graph with 46 vertices and 69 edges.

It is named after W. T. Tutte.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$

$\mathrm{with}\left(\mathrm{SpecialGraphs}\right)\:$

$G≔\mathrm{TutteGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; unweighted\; graph\; with\; 46\; vertices\; and\; 69\; edge(s)}$

$\mathrm{ChromaticNumber}\left(G\right)$

$3$

$\mathrm{DrawGraph}\left(G\right)$

"Tutte graph", Wikipedia. http://en.wikipedia.org/wiki/Tutte_graph

The GraphTheory[SpecialGraphs][TutteGraph] command was introduced in Maple 2018.

For more information on Maple 2018 changes, see Updates in Maple 2018.