On isomorphisms of minimal cayley graphs and digraphs

Abstract

A Cayley graph or digraph Cay(G, S) is called a CI-graph of G if, for any T ⊂ G, Cay(G, S) ≅ Cay(G, T) if and only if Sσ = T for some σ ∈ Aut(G). The aim of this paper is to characterize finite abelian groups for which all minimal Cayley graphs and digraphs are CI-graphs. © Springer-Verlag 2001.