GraphTheory[SpecialGraphs] - Maple Programming Help

Home : Support : Online Help : Mathematics : Discrete Mathematics : Graph Theory : GraphTheory Package : SpecialGraphs : GraphTheory/SpecialGraphs/PerkelGraph

GraphTheory[SpecialGraphs]

 PerkelGraph
 construct Perkel graph

 Calling Sequence PerkelGraph()

Description

 • The PerkelGraph command creates the Perkel graph.
 • The Perkel graph is a 6-regular distance-transitive graph with 57 vertices and 171 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{PerkelGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 57 vertices and 171 edge\left(s\right)}}$ (1)
 > $\mathrm{IsRegular}\left(G\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{ChromaticNumber}\left(G\right)$
 ${3}$ (3)

References

 "Perkel graph", Wikipedia. http://en.wikipedia.org/wiki/Perkel_graph

Compatibility

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