The rainbow connection number of enhanced power graph

Luis A. Dupont, Daniel G. Mendoza, Miriam Rodríguez

Let $G$ be a finite group, the enhanced power graph of $G$, denoted by ${\Gamma }_G^e$, is the graph with vertex set $G$ and two vertices $x,y$ are edge connected in ${\Gamma }_G^e$ if there exi…