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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 abd Eccentric connectivity indices non-commutative graph of finite groups
Type
JournalPaper
Keywords
non-commuting graph, eccentric connectivity indices , Szeged index
Year
2015
Journal Caspian Journal of Mathematical Sciences
DOI
Researchers Azizolah Azad ، Nafiseh Elahinezhad

Abstract

. Let G be a non-abelian group. The non-commuting graph ΓG of G is defined as the graph whose vertex set is the non- central elements of G and two vertices are joined if and only if they do not commute. In this paper we study some properties of ΓG and introduce n- regular AC -groups. Also we then obtain a formula for Szeged index of ΓG in terms of n, |Z (G)| and |G| . Moreover, we determine ec- centric connectivity index of ΓG for every non-abelian finite group G in terms of the number of conjugacy classes k(G) and the size of the group G.