HoffmanGraph - Maple Help

GraphTheory[SpecialGraphs]

 HoffmanGraph
 construct Hoffman graph

 Calling Sequence HoffmanGraph()

Description

 • The HoffmanGraph() command constructs the Hoffman graph.
 • The Hoffman graph is a nonplanar bipartite graph with 16 vertices and 32 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $H≔\mathrm{HoffmanGraph}\left(\right)$
 ${H}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 16 vertices and 32 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(H\right)$
 ${\mathrm{false}}$ (2)
 > $\mathrm{ChromaticNumber}\left(H\right)$
 ${2}$ (3)
 > $\mathrm{Diameter}\left(H\right)$
 ${4}$ (4)
 > $\mathrm{DrawGraph}\left(H\right)$

References

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

Compatibility

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