The PerkelGraph command creates the Perkel graph.

The Perkel graph is a 6-regular distance-transitive graph with 57 vertices and 171 edges.

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

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

$G≔\mathrm{PerkelGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 57\; vertices\; and\; 171\; edge(s)}$

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

$\mathrm{true}$

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

$3$

"Perkel graph", Wikipedia. http://en.wikipedia.org/wiki/Perkel_graph

The GraphTheory[SpecialGraphs][PerkelGraph] command was introduced in Maple 2020.

For more information on Maple 2020 changes, see Updates in Maple 2020.