Commuting graph of a group action with few edges

İsmail Ş. Güloğlu, Gülin Ercan

Let $A$ be a group acting by automorphisms on the group $G.$ \textit{The commuting graph $\Gamma (G,A)$ of $A$-orbits} of this action is the simple graph with vertex set $\{x^{A} : 1\ne…