On the Power Graph of a Finite Group

Abstract

The power graph P(G) of a group G is the graph whose vertex set is the group elements and two elements are adjacent if one is a power of the other. In this paper, we consider some graph theoretical properties of a power graph P(G) that can be related to its group theoretical properties. As consequences of our results, simple proofs for some earlier results are presented.

Cite this paper

@inproceedings{Mirzargar2012OnTP, title={On the Power Graph of a Finite Group}, author={Mahsa Mirzargar and Ali Reza Ashrafi and Mohammad J. Nadjafi-Arani and Dragan Stevanovic and Reza Ashrafi}, year={2012} }