ISSN 0253-2778

CN 34-1054/N

open

A note on optimistic strongly regular graphs

  • It is known that for a fixed integer α≥2, all but finitely many coconnected ones, the strongly regular graphs with smallest eigenvalue -α fall into two infinite families. Graham and Lovász raised the question of whether optimistic graphs exist and it was answered positively by Azarija. Here strongly regular graphs were classified with smallest eigenvalue -3, and the optimistic ones among them were determined.
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