On the Structure of the Power Graph and the Enhanced Power Graph of a Group

• Published in: The Electronic journal of combinatorics Vol. 24; no. 3
• Main Authors: Aalipour, Ghodratollah, Akbari, Saieed, Cameron, Peter J., Nikandish, Reza, Shaveisi, Farzad
• Format: Journal Article
• Language: English
• Published: 28.07.2017

Let $G$ be a group‎. ‎The power graph of $G$ is a graph with the vertex‎ ‎set $G$‎, ‎having an edge between two elements whenever one is a power of the other‎. ‎We characterize nilpotent groups whose power graphs have finite independence number‎. ‎For a bounded exponent group‎, ‎we prove its power g...