On finite nilpotent groups with the same enhanced power graph

M. Mirzargar, S. Sorgun, M. J. Nadjafi Arani

The enhanced power graph of a group $G$ is the graph $P_e(G)$ whose vertex set is $G$, such that two distinct vertices $x$ and $y$, are adjacent if $⟨x,y⟩$ is cyclic.…