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Suzuki Graph


The Suzuki graph is an edge-transitive strongly regular graph on 1782 vertices with parameters (nu,k,lambda,mu)=(1782,416,100,96) and automorphism group Suz.2. It is an integral graph with graph spectrum (-16)^(1001)20^(780)416^1. It is also distance-regular.

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

It is the starting graph for the chain of local graphs known as the Suzuki tower.

A different graph on 22880 vertices associated with Suzuki is considered by Brouwer et al. (1989, pp. 410-411 and 494).


See also

Patterson Graph, Suzuki Group, Suzuki Tower

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References

Brouwer, A. E.; Cohen, A. M.; and Neumaier, A. Distance Regular Graphs. New York: Springer-Verlag, 1989.Brouwer, A. E.; Horiguchi, N.; Kitazume, M.; and Nakasora, H. 'A Construction of the Sporadic Suzuki Graph from U_3(4)." J. Combin. Th. Ser. A 116, 1056-1062, 2009.Suzuki, M. "A Simple Group of Order 448,345,497,600." In Theory of Finite Groups (Symposium, Harvard Univ., Cambridge, Mass, 1968). New York: Benjamin, pp. 113-119, 1969.

Cite this as:

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

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