WellsGraph - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

GraphTheory[SpecialGraphs]

 WellsGraph
 construct Wells graph

 Calling Sequence WellsGraph()

Description

 • WellsGraph() creates the Wells graph, also called the Armanios-Wells graph.
 • The Wells graph is a 22-regular graph with 32 vertices and 80 edges.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $\mathrm{WG}≔\mathrm{WellsGraph}\left(\right)$
 ${\mathrm{WG}}{≔}{\mathrm{Graph 1: an undirected graph with 32 vertices and 80 edge\left(s\right)}}$ (1)
 > $\mathrm{IsRegular}\left(\mathrm{WG}\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{ChromaticNumber}\left(\mathrm{WG}\right)$
 ${4}$ (3)

References

 "Wells graph", Wikipedia. http://en.wikipedia.org/wiki/Wells_graph
 C. Armanios, "A new 5-valent distance transitive graph", Ars Combin. 19A (1985) 77-85.

Compatibility

 • The GraphTheory[SpecialGraphs][WellsGraph] command was introduced in Maple 2020.
 • For more information on Maple 2020 changes, see Updates in Maple 2020.