Document Type : Research Articles

Authors

1 Faculty of Sciences, University of Zabol, Zabol, Iran

2 University of Gonabad, Gonabad, Iran.

10.22080/cjms.2021.20160.1561

Abstract

The power graph P(G) of a finite group G is a graph whose vertex set is the group G and distinct elements x; y are adjacent if one is a power of the other. Suppose that G = P * Q, where P (resp. Q) is a finite p-group (resp. q-group) of exponent p (resp. q) for distinct prime numbers p < q. In this paper, we determine
necessary and sufficient conditions for existence of Hamiltonian cycles in P(G).

Keywords