Some Results for the (Signless) Laplacian Resolvent

被引：0

作者：

Cafure, Antonio ^{[1
,2
,3
]}

Jaume, Daniel A. ^{[4
]}

Grippo, Luciano N. ^{[5
]}

Pastine, Adrian ^{[6
]}

Safe, Martin D. ^{[5
,7
]}

Trevisan, Vilmar ^{[8
]}

Gutman, Ivan ^{[9
,10
]}

机构：

[1] Univ Buenos Aires, Ciclo Basico Comun, RA-1053 Buenos Aires, DF, Argentina

[2] Univ Nacl Gen Sarmiento, Inst Desarrollo Humano, Los Polvorines, Argentina

[3] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina

[4] Univ Nacl San Luis, Dept Matemat, San Luis, Argentina

[5] Univ Nacl Gen Sarmiento, Inst Ciencias, Los Polvorines, Argentina

[6] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

[7] Univ Nacl Sur, Dept Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina

[8] Univ Fed Rio Grande do Sul, Inst Matemat, BR-90046900 Porto Alegre, RS, Brazil

[9] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia

[10] State Univ Novi Pazar, Novi Pazar, Serbia

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2017年 / 77卷 / 01期

关键词：

GRAPHS;

D O I：

暂无

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The recently introduced concept of resolvent energy of a graph [6,7] is based on the adjacency matrix. We now consider the analogous resolvent energies based on the Laplacian and signless Laplacian matrices, and determine some of their basic properties.

引用

页码：105 / 114

页数：10

共 10 条

[1]

[Anonymous], 2016, GRAPH ENERGIES THEOR

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

Cvetkovic, Dragos ;

Rowlinson, Peter ;

Simic, Slobodan K. .

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

[3]

Deng HY, 2009, MATCH-COMMUN MATH CO, V62, P599

[4] Network Properties Revealed through Matrix Functions [J].

Estrada, Ernesto ;

Higham, Desmond J. .

SIAM REVIEW, 2010, 52 (04) :696-714

[5]

Grohe R., 1990, SIAM J MATRIX ANAL A, V11, P218

[6]

Gutman I, 2007, CROAT CHEM ACTA, V80, P151

[7]

Gutman I, 2016, MATCH-COMMUN MATH CO, V75, P279

[8]

Li X., 2012, Graph Energy

[9]

MOHAR B., 1991, Graph theory, combinatorics, and applications, V2, P871, DOI DOI 10.1016/J.CAMWA.2004.05.005

[10] A connection between ordinary and Laplacian spectra of bipartite graphs [J].

Zhou, Bo ;

Gutman, Ivan .

LINEAR & MULTILINEAR ALGEBRA, 2008, 56 (03) :305-310

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