SchlaefliGraph - Maple Help

GraphTheory[SpecialGraphs]

 SchlaefliGraph
 construct Schläfli graph

 Calling Sequence SchlaefliGraph()

Description

 • The SchlaefliGraph command creates the Schläfli graph.
 • The Schläfli graph is a 16-regular graph with 27 vertices and 216 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{SchlaefliGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 27 vertices and 216 edge\left(s\right)}}$ (1)
 > $\mathrm{IsStronglyRegular}\left(G,'\mathrm{parameters}'\right)$
 ${\mathrm{true}}{,}\left[{16}{,}{10}{,}{8}\right]$ (2)
 > $\mathrm{ChromaticNumber}\left(G\right)$
 ${9}$ (3)

References

 "Schläfli graph", Wikipedia. http://en.wikipedia.org/wiki/Schl\303\244fli_graph

Compatibility

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