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The Sylvester graph is the unique distance-regular graph with intersection array .[1] It is a subgraph of the Hoffman–Singleton 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 |
| Table of graphs and parameters | |
References
edit- ^ Brouwer, A. E.; Cohen, A. M.; Neumaier, A. (1989), Distance-regular graphs, Springer-Verlag, Theorem 13.1.2
External links
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