Asian-European Journal of Mathematics, Volume (15), No (12), Year (2022-4)

Title : ( On the Aα spectrum of the zero-divisor graphs )

Authors: Zahra Brati , Mojgan Afkhami , Kazem Khashyarmanesh ,

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Abstract

Let R be a commutative ring with nonzero identity and Z(R)∗ be the set of all nonzero zero-divisors of R. The zero-divisor graph of R, denoted by Γ(R), is a simple graph whose vertex set consists of all elements of Z(R)∗, and two distinct vertices x and y are adjacent if and only if xy = 0. In this paper, we investigate the Aα-spectral of the zero-divisor graph of the ring Zn. Specially, we study the Aα-spectral of the zero-divisor graph of the ring Zn for n = pq, p2q, pqr, where p, q and r are distinct prime numbers and p

Keywords

, Zero, divisor graph; Aα spectral
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@article{paperid:1094059,
author = {زهرا براتی and مژگان افخمی and Khashyarmanesh, Kazem},
title = {On the Aα spectrum of the zero-divisor graphs},
journal = {Asian-European Journal of Mathematics},
year = {2022},
volume = {15},
number = {12},
month = {April},
issn = {1793-5571},
keywords = {Zero-divisor graph; Aα spectral},
}

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%0 Journal Article
%T On the Aα spectrum of the zero-divisor graphs
%A زهرا براتی
%A مژگان افخمی
%A Khashyarmanesh, Kazem
%J Asian-European Journal of Mathematics
%@ 1793-5571
%D 2022

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