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

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[4] Network Properties Revealed through Matrix Functions
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[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
Zhou, Bo
Gutman, Ivan
[J]. LINEAR & MULTILINEAR ALGEBRA, 2008, 56 (03) : 305 - 310

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