Prime square order Cayley graph of cyclic groups

Abstract

In this paper, we consider the prime square order Cayley graph of a cyclic group [Formula: see text] of order [Formula: see text], where [Formula: see text] and [Formula: see text] are two distinct prime numbers. We discuss the Eulerianity and Hamiltonicity of the graph. Moreover, we present the girth, the diameter, the independence number, the chromatic number, the clique number, and the dominating number of the graph.