The diameter and dominating sets of the difference graph of a nilpotent group

Xuanlong Ma, Samir Zahirović, Katarina Žigerović

Given a finite group $G$, the difference graph of $G$, denoted by $\mathcal{D}(G)$, is the difference of the enhanced power graph of $G$ and the power graph of $G$, with all isolat…