GraphTheory[SpecialGraphs] - Maple Programming Help

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GraphTheory[SpecialGraphs]

 BiggsSmithGraph
 construct Biggs-Smith graph

 Calling Sequence BiggsSmithGraph()

Description

 • The BiggsSmithGraph command creates the Biggs-Smith graph.
 • The Biggs-Smith graph is a 3-regular graph with 102 vertices and 153 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $\mathrm{BS}≔\mathrm{BiggsSmithGraph}\left(\right)$
 ${\mathrm{BS}}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 102 vertices and 153 edge\left(s\right)}}$ (1)
 > $\mathrm{Diameter}\left(\mathrm{BS}\right)$
 ${7}$ (2)
 > $\mathrm{ChromaticNumber}\left(\mathrm{BS}\right)$
 ${3}$ (3)

References

 "Biggs-Smith graph", Wikipedia. http://en.wikipedia.org/wiki/Biggs-Smith_graph

Compatibility

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