رضا شرف دینی

Let G be a finite group with the centre Z(G). The commuting graph of a non-Abelian group G, denoted by ?G, is a simple undirected graph whose vertex set is G\ Z(G), and two vertices x and y are adjacent if and only if xy=yx. In this article we aim to study spectral property of ?G for groups whose centralizers are Abelian. We also compute the ordinary and the distance energy of these graphs.