BarnetteBosakLederbergGraph - Maple Help

GraphTheory[SpecialGraphs]

 BarnetteBosakLederbergGraph
 construct Barnette-Bosák-Lederberg graph

 Calling Sequence BarnetteBosakLederbergGraph()

Description

 • The BarnetteBosakLederbergGraph command creates the Barnette-Bosák-Lederberg graph.
 • The Barnette-Bosák-Lederberg graph is a 3-regular planar graph with 38 vertices and 57 edges which is not Hamiltonian.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{BarnetteBosakLederbergGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 38 vertices and 57 edge\left(s\right)}}$ (1)
 > $\mathrm{IsRegular}\left(G,'p'\right)$
 ${\mathrm{true}}$ (2)
 > $p$
 ${3}$ (3)

References

 "Barnette-Bosák-Lederberg graph", Wikipedia. http://en.wikipedia.org/wiki/Barnette-Bosak-Lederberg_graph

Compatibility

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