Point graph of $\mathrm{GQ}(4,2)$ $\cong \mathrm{NO}_5^{+ \perp}(3)$ graph

This graph is the unique rank-3 strongly regular graph with parameters $(45,12,3,3)$. This graph is the local graph of the Zara graph on 126 vertices, a.k.a. the $\mathrm{NO}_6^-(3)$ graph.

Number of vertices:$45$
Diameter:$2$
Intersection array:$\{12,8;1,3\}$
Spectrum:$12^1 3^{20} (-3)^{24}$
Automorphism group:$PS_{p}(4,3):2$
Distance-transitive:Yes
Primitive




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Last updated: 29 July 2024