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Suzuki Tower


The sequence of graphs starting with the Suzuki graph and successively taking local graphs, summarized in the following table, is known as the Suzuki tower, a name due to Jacques Tits (Leemans 2005).

n|Aut(G)|G
1782896690995200Suzuki graph
416503193600G_2(4) graph
1001209600Hall-Janko graph
3612096U_3(3) graph
14336quartic vertex-transitive graph Qt31 (co-Heawood graph)

See also

Hall-Janko Graph, Local Graph, Suzuki Graph

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References

Brouwer, A. "G2(4) Graph." http://www.win.tue.nl/~aeb/graphs/G24.html.Brouwer, A. "U3(3) Graph." http://www.win.tue.nl/~aeb/graphs/U3_3.html.Leemans, D. "A Family of Geometries Related to the Suzuki Tower." Comm. Algebra 33, 2201-2217, 2005.

Referenced on Wolfram|Alpha

Suzuki Tower

Cite this as:

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