On the spectrum of Cayley graphs

Abstract

The set of eigenvalues of  the adjacency matrix of a graph is called the spectrum of it. In the present paper, we introduce the spectrum of Cayley graphs of order \(pqr\) in terms of  character table, where \(p,q,r\) are prime numbers. We also, stablish some properties of Cayley graphs of non-abelian groups with a normal symmetric connected subset.