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Azizolah Azad

Azizolah Azad

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-7950-0977
Education: PhD.
ScopusId: 14420904600
Faculty: Science
Address: Arak University
Phone:

Research

Title
On the Szeged index of non-commutative graph of general linear group
Type
JournalPaper
Keywords
non-commuting graph, general linear group, Szeged index
Year
2014
Journal Journal of Algebraic Structures and Their Applications
DOI
Researchers Azizolah Azad ، Nafiseh Elahinezhad

Abstract

Let G be a non-abelian group and let Z(G) be the center of G. Associate with G there is a graph G as follows: Take G\Z(G) as vertices of G and joint two distinct vertices x and y whenever yx ≠ yx. ΓG is called the non-commuting graph of G. In recent years many interesting works have been done in non-commutative graph of groups. Computing the clique number, chromatic number, Szeged index and Wiener index play important role in graph theory. In particular, the clique number of non-commuting graph of some the general linear groups has been determined. Recently, Wiener and Szeged indices have been computed for G , where q = 0(mod 4). In this