ChvatalGraph - Maple Help

GraphTheory[SpecialGraphs]

 ChvatalGraph
 construct Chvatal graph

 Calling Sequence ChvatalGraph()

Description

 • The ChvatalGraph() command constructs the Chvátal graph, a 4-regular graph with 12 vertices and 18 edges. Its chromatic number is 4.
 • The Chvátal graph was first described by Václav Chvátal.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $C≔\mathrm{ChvatalGraph}\left(\right)$
 ${C}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 12 vertices and 24 edge\left(s\right)}}$ (1)
 > $\mathrm{ChromaticNumber}\left(C\right)$
 ${4}$ (2)
 > $G≔\mathrm{AutomorphismGroup}\left(C\right)$
 ${G}{≔}⟨\left({1}{,}{3}\right)\left({2}{,}{11}\right)\left({4}{,}{8}\right)\left({5}{,}{6}\right)\left({7}{,}{12}\right)\left({9}{,}{10}\right){,}\left({1}{,}{2}{,}{12}{,}{8}\right)\left({3}{,}{4}{,}{7}{,}{11}\right)\left({5}{,}{9}{,}{10}{,}{6}\right)⟩$ (3)
 > $\mathrm{GroupTheory}:-\mathrm{GroupOrder}\left(G\right)$
 ${8}$ (4)
 > $\mathrm{DrawGraph}\left(C\right)$

References

 "Chvátal graph", Wikipedia. http://en.wikipedia.org/wiki/Chvatal_graph

Compatibility

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