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Shi-Krotov-Solé Graph

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The Shi-Krotov-Solé graph is a weakly regular graph on 1024 vertices with regular parameters (nu,k,lambda,mu)=(1024,33,2,(0,2)).

It is distance-regular but not distance-transitive with intersection array {33,30,15;1,2,15} and has graph spectrum (-7)^(330)1^(495)9^(198)33^1.

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

See also

Distance-Regular Graph, Weakly Regular Graph

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References

DistanceRegular.org. "Shi-Krotov-Solé graph." https://www.distanceregular.org/graphs/shikrotovsole.html.Norton, S. P. "On the Group Fi_(24)." Geom. Dedicata 25, 483-501, 1988.Shi, M., Krotov, D. S., and Solé, P. "A New Distance-Regular Graph of Diameter 3 on 1024 Vertices." Des. Codes Cryptogr. 87, 2091-2101, 2019.

Cite this as:

Weisstein, Eric W. "Shi-Krotov-Solé Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Shi-Krotov-SoleGraph.html

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