I came across the following question which I haven’t seen before: Question. Fix $ k\ge 3$ . For infinitely many $ n$ , does there exists a generating set $ \langle R_n \rangle = S_n$ , $ |R_n|=k$ , such that the corresponding (undirected) Cayley graph $ \Gamma(S_n,R_n)$ is edge-transitive? Perhaps, there a simple explicitRead more