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Snub Dodecahedral Graph


SnubDodecahedralGraph

The snub dodecahedral graph is a quintic graph on 60 nodes and 150 edges that corresponds to the skeleton of the snub dodecahedron, great inverted snub icosidodecahedron, great retrosnub icosidodecahedron, and great snub icosidodecahedron.

The snub dodecahedral graph is planar and Hamiltonian, and has chromatic number 4. It is vertex-transitive, although not edge-transitive because some edges are part of three-circuits while others are not.

It is implemented in the Wolfram Language as GraphData["SnubDodecahedralGraph"].


See also

Archimedean Graph, Quintic Graph, Snub Cubical Graph, Snub Dodecahedron

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References

Read, R. C. and Wilson, R. J. An Atlas of Graphs. Oxford, England: Oxford University Press, p. 269, 1998.

Cite this as:

Weisstein, Eric W. "Snub Dodecahedral Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SnubDodecahedralGraph.html

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