Examples
- Complete graphs are distance regular with diameter 1 and degree v−1.
- Cycles C2d+1 of odd length are distance regular with k = 2 and diameter d. The intersection numbers ai = 0, bi = 1, and ci = 1, except for the usual special cases (see above) and cd = 2.
- All Moore graphs, in particular the Petersen graph and the Hoffman-Singleton graph, are distance regular.
- Strongly regular graphs are distance regular.
- The odd graphs are distance regular.
Read more about this topic: Intersection Array
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