Small Rhombicosidodecahedral Graph


The small rhombicosidodecahedral graph is a quartic graph on 60 nodes and 120 edges that corresponds to the skeleton of the small rhombicosidodecahedron, as well as the great dodecicosidodecahedron, great rhombidodecahedron, quasirhombicosidodecahedron, small dodecicosidodecahedron, small rhombicosidodecahedron, and small rhombidodecahedron uniform polyhedra.

It has graph diameter 8, graph radius 8, and chromatic number 3. It is also Hamiltonian. 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["SmallRhombicosidodecahedralGraph"].

See also

Quartic Graph, Small Rhombicosidodecahedron

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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. "Small Rhombicosidodecahedral Graph." From MathWorld--A Wolfram Web Resource.

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