$\mathrm{SRG}(29,14,6,7)$ (40 graphs, 20 pairs)

Up to isomorphism, there are precisely 41 $\mathrm{SRG}(29,14,6,7)$s. One of these graphs is the Paley graph $P_{29}$ which is the only rank-3 strongly regular graph with these parameters. It is also the only self-complementary strongly regular graph with these parameters. On this page we describe the remaining 40 graphs which fall into 20 complementary pairs.

Number of vertices:$29$
Diameter:$2$
Intersection array:$\{14,7;1,7\}$
Spectrum:$14^1 \left(\frac{-1+\sqrt{29}}{2}\right)^{14} \left(\frac{-1-\sqrt{29}}{2}\right)^{14}$
Distance-transitive:No
Primitive




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Last updated: 2 August 2024