GraphTheory[SpecialGraphs] - Maple Programming Help

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GraphTheory[SpecialGraphs]

 PoussinGraph
 construct Poussin graph

 Calling Sequence PoussinGraph()

Description

 • The PoussinGraph() command returns the Poussin graph, a planar undirected graph with 15 vertices and 39 edges.
 • The Poussin graph was discovered by Charles Jean de la Vallée-Poussin as a counterexample to an incorrect proof of the four color theorem.

Examples

 > with(GraphTheory):
 > with(SpecialGraphs):
 > G := PoussinGraph();
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 15 vertices and 39 edge\left(s\right)}}$ (1)
 > IsPlanar(G);
 ${\mathrm{true}}$ (2)
 > DrawGraph(G);

References

 "Poussin graph", Wikipedia. http://en.wikipedia.org/wiki/Poussin_graph

Compatibility

 • The GraphTheory[SpecialGraphs][PoussinGraph] command was introduced in Maple 2018.
 • For more information on Maple 2018 changes, see Updates in Maple 2018.