|
Abstract
|
The enhanced power graph $P_e(G)$ of a group $G$ is a graph with vertex set $G$, where two vertices $u$ and $v$ are adjacent if and only if $<u,v>$ is cyclic. In this paper, we raise and study the following question: For which natural numbers $n$ every two groups of order $n$ with isomorphic enhanced power graphs are isomorphic?
|