Rank-3 graphs on 2209 vertices

There exist precisely five rank-3 strongly regular graphs on 2209 vertices. They are the Van Lint–Schrijver graph on 2209 vertices, $H(2,47)$, the Paley graph $P_{2209}$, the Peisert graph on 2209 vertices, and the graph below with valency 1104.

Number of vertices:$2209$
Diameter:$2$
Intersection array:$\{1104,552;1,552\}$
Spectrum:$1104^1 23^{1104} (-24)^{1104}$
Automorphism group:$47^2:46.\mathrm{S}_4$
Distance-transitive:Yes
Primitive




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Last updated: 18 July 2024