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Strongly regular graphs with parameters (37, 18, 8, 9) having nontrivial automorphisms

Strongly regular graphs with parameters (37, 18, 8, 9) having nontrivial automorphisms

All strongly regular graphs having at most 36 vetrices have been enumerated. Hence, the first open case is enumeration of the SRGs with parameters (37,18,8,9). In this paper we show that there are exactly forty SRGs with parameters (37,18,8,9) having nontrivial automorphisms. Comparing the constructed graphs with previously known SRGs …