Isomorphisms of connected Cayley digraphs (Q1385298)

A Cayley graph \(X(G;S)\) on a finite group \(G\) is said to be a CI-graph if for any \(T\subset G\), \(S=\alpha(T)\) for some \(\alpha\in \Aut(G)\) only when \(X(G;S)\cong X(G;T)\). The author investigates minimal Cayley graphs on abelian groups with respect to being CI-graphs, and isomorphisms of connected Cayley graphs on groups which are abelian, nilpotent, or of odd order.