Commuting graph of a group on a transversal

Julio C. M. Pezzott, Irene N. Nakaoka

Given a finite group $G$ and a subset $X$ of $G$, the commuting graph of $G$ on $X$, denoted by $\mathcal{C}(G,X)$, is the graph that has $X$ as its vertex set with $x,y\in X$ joined…