GroetzschGraph - Maple Help

GraphTheory[SpecialGraphs]

 GrotzschGraph
 construct Groetzsch graph

 Calling Sequence GroetzschGraph()

Description

 • The GroetzschGraph() command returns the Grötzsch graph, a triangle-free graph with 11 vertices, 20 edges, chromatic number 4, and crossing number 5.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{GroetzschGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 11 vertices and 20 edge\left(s\right)}}$ (1)
 > $\mathrm{IsBipartite}\left(G\right)$
 ${\mathrm{false}}$ (2)
 > $\mathrm{DrawGraph}\left(G\right)$

References

 "Grötzsch graph", Wikipedia. http://en.wikipedia.org/wiki/Groetzsch_graph