$\text{Flag graph of } PG(2,5)$

Number of vertices:$186$
Diameter:$3$
Intersection array:$\{10,5,5;1,1,2\}$
Spectrum:$10^1 (4+\sqrt{5})^{30} (4-\sqrt{5})^{30} (-2)^{125}$
Automorphism group:$Aut(PSL(3,5)) \cong PSL(3,5):2$
Distance-transitive:$\text{Yes}$




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Last updated: 31 March 2019