The HoffmanGraph() command constructs the Hoffman graph.

The Hoffman graph is a nonplanar bipartite graph with 16 vertices and 32 edges.

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

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

$H≔\mathrm{HoffmanGraph}\left(\right)$

$H≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 16\; vertices\; and\; 32\; edges}$

$\mathrm{IsPlanar}\left(H\right)$

$\mathrm{false}$

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

$2$

$\mathrm{Diameter}\left(H\right)$

$4$

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

"Hoffman graph", Wikipedia. http://en.wikipedia.org/wiki/Hoffman_graph

The GraphTheory[SpecialGraphs][HoffmanGraph] command was introduced in Maple 2017.

For more information on Maple 2017 changes, see Updates in Maple 2017.