The GoldnerHararyGraph command creates the Goldner-Harary graph.

The Goldner-Harary graph is a planar non-Hamiltonian graph with 11 vertices and 27 edges.

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

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

$G≔\mathrm{GoldnerHararyGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 11\; vertices\; and\; 27\; edge(s)}$

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

$\mathrm{true}$

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

$4$

"Goldner-Harary graph", Wikipedia. http://en.wikipedia.org/wiki/Goldner-Harary_graph

The GraphTheory[SpecialGraphs][GoldnerHararyGraph] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.