$\text{Sylvester graph}$

Number of vertices:$36$
Diameter:$3$
Intersection array:$\{5,4,2;1,1,4\}$
Spectrum:$5^1 2^{16} (-1)^{10} (-3)^9$
Automorphism group:$\text{Aut}(S_6)$
Distance-transitive:$\text{Yes}$
Primitive


Sylvester graph

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Last updated: 4 February 2017