ON SUM OF POWERS OF THE SIGNLESS LAPLACIAN EIGENVALUES OF GRAPHS

被引：0

作者：

Liu, Muhuo ^{[1
,2
,3
]}

Liu, Bolian ^{[2
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China

[2] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

[3] S China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R China

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2012年 / 41卷 / 04期

关键词：

Signless Laplacian matrix; Laplacian matrix; Incidence energy; ENERGY; INDEX; BOUNDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graph G and a real number alpha (alpha not equal 0, 1), the graph invariant S-alpha(G) is the sum of the alpha th power of the signless Laplacian eigenvalues of G. Let IE(G) denote the incidence energy of G, i.e., IE(G) = S-1/2 (G). This note presents some properties and bounds for S-alpha(G) and IE(G).

引用

页码：527 / 536

页数：10

共 27 条

[1]

Akbari S, 2010, ELECTRON J COMB, V17

[2]

[Anonymous], 1985, Linear Multilinear Algebra, DOI [DOI 10.1080/03081088508817681, 10.1080/03081088508817681]

[3] Sharp bounds for the largest eigenvalue of the signless Laplacian of a graph [J].

Chen, Yanqing ;

Wang, Ligong .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (05) :908-913

[4] EIGENVALUE BOUNDS FOR THE SIGNLESS LAPLACIAN [J].

Cvetkovic, Dragos ;

Rowlinson, Peter ;

Simic, Slobodan .

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2007, 81 (95) :11-27

[5] Signless Laplacians of finite graphs [J].

Cvetkovic, Dragos ;

Rowlinson, Peter ;

Simic, Slobodan K. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 423 (01) :155-171

[6] Towards a spectral theory of graphs based on the signless Laplacian, II [J].

Cvetkovic, Dragos ;

Simic, Slobodan K. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (09) :2257-2272

[7] The quasi-Wiener and the Kirchhoff indices coincide [J].

Gutman, I ;

Mohar, B .

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1996, 36 (05) :982-985

[8] Laplacian energy of a graph [J].

Gutman, I ;

Zhou, B .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 414 (01) :29-37

[9]

GUTMAN I, 1992, TOP CURR CHEM, V162, P29

[10] GRAPH THEORY AND MOLECULAR-ORBITALS - TOTAL PI-ELECTRON ENERGY OF ALTERNANT HYDROCARBONS [J].

GUTMAN, I ;

TRINAJSTIC, N .

CHEMICAL PHYSICS LETTERS, 1972, 17 (04) :535-538

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