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GraphTheory[SpecialGraphs]

 CoxeterGraph
 construct Coxeter graph

 Calling Sequence CoxeterGraph()

Description

 • The CoxeterGraph command creates the Coxeter graph, which is a nonhamiltonian 3-regular graph on 28 vertices and 42 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $C≔\mathrm{CoxeterGraph}\left(\right)$
 ${C}{:=}{\mathrm{Graph 1: an undirected unweighted graph with 28 vertices and 42 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(C\right)$
 ${\mathrm{false}}$ (2)
 > $\mathrm{IsRegular}\left(C,'v'\right)$
 ${\mathrm{true}}$ (3)
 > $v$
 ${3}$ (4)
 > $\mathrm{IsHamiltonian}\left(C\right)$
 ${\mathrm{false}}$ (5)
 > $\mathrm{DrawGraph}\left(C\right)$

 See Also

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