Characterizing finite groups whose enhanced power graphs have universal vertices

David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2

Let $G$ be a finite group and construct a graph $\Delta (G)$ by taking $G\setminus \{1\}$ as the vertex set of $\Delta (G)$ and by drawing an edge between two vertices $x$ and $y$ if $\langle x…