Title : ( On the signless Laplacian and normalized Laplacian spectrum of the zero divisor graphs )
Authors: Mojgan Afkhami , Zahra Barati , Kazem Khashyarmanesh ,
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Abstract
Let R be a commutative ring with nonzero identity and let T(R) denote the zero divisor graph of R. In this paper, we describe the signless Laplacian and normalized Laplacian spectrum of the zero divisor graph T(Zn), and we determine these spectrums for some values of n.We also characterize the cases that 0 is a signless Laplacian eigenvalue of T(Zn).Moreover, we find some bounds for some eigenvalues of the signless Laplacian and normalized Laplacian matrices of T(Zn).
Keywords
Zero divisor graph · Signless Laplacian spectrum · Normalized Laplacian spectrum · Smallest signless Laplacian eigenvalue · Largest signless Laplacian eigenvalue
@article{paperid:1083412,
author = {Mojgan Afkhami and Zahra Barati and Khashyarmanesh, Kazem},
title = {On the signless Laplacian and normalized Laplacian spectrum of the zero divisor graphs},
journal = {Ricerche di Matematica},
year = {2020},
volume = {71},
number = {2},
month = {May},
issn = {0035-5038},
pages = {349--365},
numpages = {16},
keywords = {Zero divisor graph · Signless Laplacian spectrum · Normalized Laplacian
spectrum · Smallest signless Laplacian eigenvalue · Largest signless Laplacian
eigenvalue},
}
%0 Journal Article
%T On the signless Laplacian and normalized Laplacian spectrum of the zero divisor graphs
%A Mojgan Afkhami
%A Zahra Barati
%A Khashyarmanesh, Kazem
%J Ricerche di Matematica
%@ 0035-5038
%D 2020
