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## Strongly regular cayley graphs

Let $G$ and $Cay(A,S)$ be strongly regular graphs with the same parameters. Is it true that $G$ is a cayley graph?

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Latin square graphs (e.g. cs.yale.edu/homes/spielman/561/2009/lect23-09.pdf) will work; for each possible order there is a Cayley graph and (in general, $n\ge5$) examples that are not. – Chris Godsil Dec 21 at 13:48