 DuererGraph - Maple Help

GraphTheory[SpecialGraphs]

 DuererGraph
 construct Duerer graph Calling Sequence DuererGraph() Description

 • The DuererGraph() command constructs the Dürer graph, a planar cubic graph with 12 vertices and 18 edges.
 • It is derived from Dürer's solid, a polyhedron first seen in an engraving by Albrecht Dürer. Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $G≔\mathrm{DuererGraph}\left(\right)$
 ${G}{≔}{\mathrm{Graph 1: an undirected graph with 12 vertices and 18 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(G\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{ChromaticNumber}\left(G\right)$
 ${3}$ (3)
 > $\mathrm{Diameter}\left(G\right)$
 ${4}$ (4)
 > $\mathrm{GroupTheory}:-\mathrm{GroupOrder}\left(\mathrm{AutomorphismGroup}\left(G\right)\right)$
 ${12}$ (5)
 > $\mathrm{DrawGraph}\left(G\right)$  References

 "Dürer graph", Wikipedia. http://en.wikipedia.org/wiki/Duerer_graph Compatibility

 • The GraphTheory[SpecialGraphs][DuererGraph] command was introduced in Maple 2019.