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 50 条

[21] On the sum of signless Laplacian eigenvalues of a graph
Ashraf, F.
Omidi, G. R.
Tayfeh-Rezaie, B.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (11) : 4539 - 4546
[22] Distance signless Laplacian eigenvalues of graphs
Kinkar Chandra Das
Huiqiu Lin
Jiming Guo
Frontiers of Mathematics in China, 2019, 14 : 693 - 713
[23] Signless Laplacian eigenvalues and circumference of graphs
Wang, JianFeng
Belardo, Francesco
DISCRETE APPLIED MATHEMATICS, 2013, 161 (10-11) : 1610 - 1617
[24] A note on the signless Laplacian eigenvalues of graphs
Wang, Jianfeng
Belardo, Francesco
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (10) : 2585 - 2590
[25] Distance signless Laplacian eigenvalues of graphs
Das, Kinkar Chandra
Lin, Huiqiu
Guo, Jiming
FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (04) : 693 - 713
[26] Some remarks on the sum of the inverse values of the normalized signless Laplacian eigenvalues of graphs
Milovanovic, Igor
Milovanovic, Emina
Matejic, Marjan
Altindag, S. B. Bozkurt
COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2021, 6 (02) : 259 - 271
[27] New bounds for the sum of powers of normalized Laplacian eigenvalues of graphs
Clemente, Gian Paolo
Cornaro, Alessandra
ARS MATHEMATICA CONTEMPORANEA, 2016, 11 (02) : 403 - 413
[28] On Sum of Powers of Normalized Laplacian Eigenvalues and Resistance Distances of Graphs
Sun, Wenwen
Chen, Haiyan
Hu, Mingying
SSRN, 2022,
[29] The sum of the first two largest signless laplacian eigenvalues of trees and unicyclic graphs
Du, Zhibin
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2019, 35 : 449 - 467
[30] On sum of powers of normalized Laplacian eigenvalues and resistance distances of graphs
Sun, Wenwen
Chen, Haiyan
Hu, Mingying
DISCRETE APPLIED MATHEMATICS, 2023, 338 : 179 - 186

← 1 2 3 4 5 →