Perkel graph

Number of vertices: $57$
Diameter:$3$
Intersection array:$\{6,5,2;1,1,3\}$
Spectrum:$6^1 (\frac{1}{2}(3+\sqrt{5}))^{18} (\frac{1}{2}(3-\sqrt{5}))^{18} (-3)^{20}$
Automorphism group:$\mathrm{PSL}(2,19)$
Distance-transitive:Yes
Primitive

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Last updated: 4 February 2017