$\mathrm{NO}_7^{+ \perp}(3)$ graph

This graph is the unique rank-3 strongly regular graph with parameters $(378,117,36,36)$. The local graph of this graph is the $\mathrm{NO}_6^+(3)$ graph. This graph is the local graph of the $\mathrm{NO}_8^-(3)$ graph.

Number of vertices:$378$
Diameter:$2$
Intersection array:$\{117,80;1,36\}$
Spectrum:$117^1 9^{182} (-9)^{195}$
Automorphism group:$\mathrm{PSO}(7,3) \cong \mathrm{O}_7(3):2$
Distance-transitive:Yes
Primitive




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Last updated: 29 July 2024