On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of Zn

被引：25

作者：

Pirzada, S. ^{[1
]}

Rather, Bilal A. ^{[1
]}

Aijaz, M. ^{[1
]}

Chishti, T. A. ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar, India

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 17期

关键词：

Distance matrix; distance signless Laplacian matrix; zero divisor graphs; EIGENVALUES; ENERGY; MATRICES; JOIN;

D O I：

10.1080/03081087.2020.1838425

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a simple connected graph G of order n, we obtain the distance signless Laplacian spectrum of the joined union of regular graphs G(1), G(2),..., G(n) in terms of their adjacency spectrum and the spectrum of an auxiliary matrix. As a consequence, we obtain the distance signless Laplacian spectrum of the zero divisor graphs of finite commutative rings Z(n) for some values of n. We show that Gamma(Z(n)) is not in general distance signless Laplacian integral for n = p(z), where p is any prime and z = 2. Also, we find the spectrum of Gamma(Z(pz)) for certain values of z.

引用

页码：3354 / 3369

页数：16

共 29 条

[11] Spectra of graphs obtained by a generalization of the join graph operation [J].

Cardoso, Domingos M. ;

de Freitas, Maria Aguieiras A. ;

Martins, Enide Andrade ;

Robbiano, Maria .

DISCRETE MATHEMATICS, 2013, 313 (05) :733-741

[12] Laplacian eigenvalues of the zero divisor graph of the ring Zn [J].

Chattopadhyay, Sriparna ;

Patra, Kamal Lochan ;

Sahoo, Binod Kumar .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 584 :267-286

[13]

Cvetkovi DM, 1980, PURE APPL MATH, V87

[14] On (distance) Laplacian energy and (distance) signless Laplacian energy of graphs [J].

Das, Kinkar Ch. ;

Aouchiche, Mustapha ;

Hansen, Pierre .

DISCRETE APPLIED MATHEMATICS, 2018, 243 :172-185

[15] Sharp upper bounds on the distance energies of a graph [J].

Diaz, Roberto C. ;

Rojo, Oscar .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 545 :55-75

[16] EXPLORING SYMMETRIES TO DECOMPOSE MATRICES AND GRAPHS PRESERVING THE SPECTRUM [J].

Fritscher, Eliseu ;

Trevisan, Vilmar .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2016, 37 (01) :260-289

[17]

Ganie HA, DISTANCE LAPLACIAN E

[18] On distance Laplacian spectrum energy of graphs [J].

Ganie, Hilal A. .

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2020, 12 (05)

[19]

Gutman I, 2001, ALGEBRAIC COMBINATORICS AND APPLICATIONS, P196

[20]

Gutman I., 1978, Berichte der Mathematisch-Statistischen Sektion Forschungszentrum Graz, V103, P1, DOI [DOI 10.1016/J.LAA.2004.02.038, DOI 10.1088/1742-5468/2008/10/P10008]

← 1 2 3 →