Some New Results Concerning Power Graphs and Enhanced Power Graphs of Groups

Ivica Bošnjak, Rozália Madarász, Samir Zahirović

The directed power graph $\vec{\mathcal{P}}(\mathbf{G})$ of a group $\mathbf{G}$ is the simple digraph with vertex set $G$ such that $x\to y$ if $y$ is a power of $x$. The pow…