The GolombGraph command creates the Golomb graph.

The Golomb graph is a planar graph with 10 vertices and 18 edges.

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

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

$G≔\mathrm{GolombGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 10\; vertices\; and\; 18\; edge(s)}$

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

$\mathrm{true}$

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

$4$

"Golomb graph", Wikipedia. http://en.wikipedia.org/wiki/Golomb_graph

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

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