On the connectivity of the proper intersection power graph of a finite group

چکیده مقاله

Let G be a group with an identity element e. The intersection power graph of G, denoted by P_I (G), is the graph with vertex set G and two distinct vertices x and y are adjacent if there exists an element z ∈ G \ {e} such that x^m = z = yⁿ, for some m, n ∈ N and e is adjacent to all other vertices. The proper intersection power graph of G, denoted by PI^∗(G), is obtained by removing the identity element from the vertex set of P_I (G). In this paper, we study the connectivity of P^∗I^(G).. © 2020, Institute of Mathematics and Computer Science. All rights reserved.