GossetGraph - Maple Help

GraphTheory[SpecialGraphs]

 GossetGraph
 construct Gosset graph

 Calling Sequence GossetGraph()

Description

 • The GossetGraph() command constructs the Gosset graph.
 • The Gosset graph is a 27-regular graph with 56 vertices and 756 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{GossetGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 56 vertices and 756 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(G\right)$
 ${\mathrm{false}}$ (2)
 > $\mathrm{IsRegular}\left(G\right)$
 ${\mathrm{true}}$ (3)
 > $\mathrm{ChromaticNumber}\left(G\right)$
 ${8}$ (4)
 > $\mathrm{DrawGraph}\left(G,\mathrm{style}=\mathrm{spring}\right)$

References

 "Gosset graph", Wikipedia. http://en.wikipedia.org/wiki/Gosset_graph

Compatibility

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