Automorphism groups of Cayley graphs generated by general transposition sets

Dion Gijswijt, Frank de Meijer

In this paper we study the Cayley graph $\mathrm{Cay}(S_n,T)$ of the symmetric group $S_n$ generated by a set of transpositions $T$. We show that for $n\ge 5$ the Cayley graph is…