On the connectivity of the proper intersection power graph of a finite group
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BABAI, Azam. On the connectivity of the proper intersection power graph of a finite group. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 2(44), pp. 177-182. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 28, Numărul 2(44) / 2020 / ISSN 1561-2848

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


Pag. 177-182

Babai Azam
 
University of Qom
 
 
Disponibil în IBN: 22 martie 2021


Rezumat

Let G be a group with an identity element e. The intersection power graph of G, denoted by PI (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} n feg such that xm = z = yn, for some m; n 2 N and e is adjacent to all other vertices. The proper intersection power graph of G, denoted by P I (G), is obtained by removing the identity element from the vertex set of PI (G). In this paper, we study the connectivity of PI (G).