FolkmanGraph - Maple Help

GraphTheory[SpecialGraphs]

 FolkmanGraph
 construct Folkman graph

 Calling Sequence FolkmanGraph()

Description

 • The FolkmanGraph() command constructs the Folkman graph.
 • The Folkman graph is a nonplanar bipartite graph with 20 vertices and 40 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $F≔\mathrm{FolkmanGraph}\left(\right)$
 ${F}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 20 vertices and 40 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(F\right)$
 ${\mathrm{false}}$ (2)
 > $\mathrm{ChromaticNumber}\left(F\right)$
 ${2}$ (3)
 > $\mathrm{DrawGraph}\left(F\right)$

References

 "Folkman graph", Wikipedia. http://en.wikipedia.org/wiki/Folkman_graph

Compatibility

 • The GraphTheory[SpecialGraphs][FolkmanGraph] command was introduced in Maple 2017.