A note on the Independence Number of a Power Graph of a Cyclic Group

Doostabadi, Alireza

doi:10.22034/cas.2024.482591.1043

A note on the Independence Number of a Power Graph of a Cyclic Group

Document Type : Original Article

Author

Alireza Doostabadi

Faculty of Sciences, University of Zabol, Zabol, Iran

https://doi.org/10.22034/cas.2024.482591.1043

Abstract

Let G be a finite group. The power graph of the group G, with notation P (G) is a graph such that it’s vertex set is the group G and two distinct elements x, y are adjacent if and only if x = yⁿ or y = xⁿ for some positive integer . In this note, we compute bounds of independence number of power graph of a cyclic group.

Graphical Abstract