Suzuki Graph

The Suzuki graph is an edge-transitive strongly regular graph on 1782 vertices with parameters and automorphism group Suz.2. It is an integral graph with graph spectrum . 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).

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References

Brouwer, A. E. "Suzuki Graph." https://aeb.win.tue.nl/graphs/Suzuki.html.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

." J. Combin. Th. Ser. A 116, 1056-1062, 2009.DistanceRegular.org. "Suzuki Graph." https://www.math.mun.ca/distanceregular/graphs/suzuki.html.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.

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Suzuki Graph

Cite this as:

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

Suzuki Graph

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References

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