The aim of this paper is to identify complete power graphs of groups and compute their clique number and show that power graphs are perfect. Moreover, automorphism of the power graph of cyclic groupsâ€¦ (More)

The exterior degree dâˆ§(G) of a finite group G has been recently introduced by Rezaei and Niroomand in order to study the probability that two given elements x and y of G commute in the nonabelianâ€¦ (More)

One of the important parts of the infrared seeker is the counter countermeasure part. Seeking in a field of view with the existence of jammers is not simple and needs effective algorithms. In thisâ€¦ (More)

A subgroup H of a group G is conjugately dense in G if for each element g in G the intersection of H with the conjugates of g in G is nonempty. Conjugately dense subgroups deal with interesting openâ€¦ (More)

A subgroup H of a group G is called conjugately dense in G if H has nonempty intersection with each class of conjugate elements in G. The knowledge of conjugately dense subgroups is related with anâ€¦ (More)

In this paper we introduce the conjugate graph Î“G associated to a nonabelian group G with vertex set G\Z(G) such that two distinct vertices join by an edge if they are conjugate. We show if Î“G âˆ¼= Î“Sâ€¦ (More)