BerlekampVanLintSeidelGraph - Maple Help

GraphTheory[SpecialGraphs]

 BerlekampVanLintSeidelGraph
 construct Berlekamp-van Lint-Seidel graph

 Calling Sequence BerlekampVanLintSeidelGraph()

Description

 • The BerlekampVanLintSeidelGraph command creates the Berlekamp-van Lint-Seidel graph.
 • The Berlekamp-van Lint-Seidel graph is a strongly regular graph with 243 vertices and 2673 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{BerlekampVanLintSeidelGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 243 vertices and 2673 edge\left(s\right)}}$ (1)
 > $\mathrm{IsStronglyRegular}\left(G,'\mathrm{parameters}'\right)$
 ${\mathrm{true}}{,}\left[{22}{,}{1}{,}{2}\right]$ (2)

References

 "Berlekamp-van Lint-Seidel graph", Wikipedia. http://en.wikipedia.org/wiki/Berlekamp-van Lint-Seidel_graph

Compatibility

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