McLaughlinGraph - Maple Help

GraphTheory[SpecialGraphs]

 McLaughlinGraph
 construct McLaughlin graph

 Calling Sequence McLaughlinGraph()

Description

 • The McLaughlinGraph() command returns the McLaughlin graph, a strongly regular graph with 275 vertices and 15400 edges.
 • The automorphism group of the McLaughlin graph contains the McLaughlin group as a subgroup of index 2.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{McLaughlinGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 275 vertices and 15400 edge\left(s\right)}}$ (1)
 > $\mathrm{IsStronglyRegular}\left(G,\mathrm{parameters}\right)$
 ${\mathrm{true}}{,}\left[{112}{,}{30}{,}{56}\right]$ (2)

References

 "McLaughlin graph", Wikipedia. http://en.wikipedia.org/wiki/McLaughlin_graph

Compatibility

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