Commuting graph of non-abelian groups of order $p^n$ with center having $p^{n-2}$ elements

Dilpreet Kaur, Gaurav Kumar, Shivam Tiwari

Let $G$ be a group. The commuting graph $\hat{I}\P (G,V)$ of a group $G$ has a vertex set $V\subseteq G,$ two vertices are connected with an edge if the corresponding elements commute in…