Some Bounds for The Energies of The Power Graphs of Cyclic Groups

Abstract

In this study, some lower and upper bounds were obtained for the energies of the power graphs of finite cyclic groups by considering the adjacency matrix structure of the power graph of a finite cyclic group. Then, some results are given using the relationship between the case where the order of a cyclic group is the positive integer power of a prime number and the completeness of the power graph corresponding to this cyclic group.