Common neighborhood spectrum of commuting graphs of finite groups

The commuting graph of a finite non-abelian group $G$ with center $Z(G)$, denoted by $\Gamma_c(G)$, is a simple undirected graph whose vertex set is $G\setminus Z(G)$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy = yx$. In this paper, we compute the common neighborhood spectrum of commuting graphs of several classes of finite non-abelian groups and conclude that these graphs are CN-integral.