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Sakineh Rahbariyan

Sakineh Rahbariyan

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0001-7193-3850
Education: PhD.
ScopusId: 52364509200
Faculty: Science
Address: Arak University
Phone:

Research

Title
On the Power Graphs Associated with Finite Groups and Their Tree-numbers
Type
Presentation
Keywords
Power graph, Finite group, Tree-number,
Year
2023
Researchers Sakineh Rahbariyan

Abstract

Given a group G, we de ne the power graph P(G) as follows: the vertices are the elements of G and two vertices x and y are joined by an edge if hxi  hyi or hyi  hxi. Obviously the power graph of any group is always connected, because the identity element of the group is adjacent to all other vertices. We consider (G), the number of spanning trees of the power graph associated with nite group G. The purpose of this paper is to nd some results concerning the complexity (G) for a nite group G.