On the power graph of a finite group
Mahsa Mirzargar, Али Реза Ашрафи, Mohammad Javad Nadjafi-Arani · Filomat · 2012
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.