Sylvester graph

Sylvester graph
Vertices 36
Edges 90
Radius 3
Diameter 3
Girth 5
Automorphisms 1440
Chromatic number 4
Chromatic index 5
Properties Distance regular
Hamiltonian

The Sylvester graph is the unique distance-regular graph with intersection array .[1] It is a subgraph of the Hoffman–Singleton graph.

References

  1. Brouwer, A. E.; Cohen, A. M.; Neumaier, A. (1989), Distance-regular graphs, Springer-Verlag, Theorem 13.1.2
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