NEW BOUNDS FOR THE SPREAD OF THE SIGNLESS LAPLACIAN SPECTRUM

被引：2

作者：

Guengoer, A. Dilek Maden ^{[1
]}

Cevik, A. Sinan ^{[1
]}

Habibi, Nader ^{[2
]}

机构：

[1] Selcuk Univ, Fac Sci, Dept Math, TR-42075 Konya, Turkey

[2] Univ Zanjan, Fac Sci, Dept Math, Zanjan, Iran

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 01期

关键词：

Spread; Laplacian spectrum; signless Laplacian spectrum; LEAST EIGENVALUE; BICYCLIC GRAPHS; MATRIX;

D O I：

10.7153/mia-17-23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spread of the singless Laplacian of a simple graph G is defined as SQ(G) = mu(1)(G) - mu(n)(G), where mu(1)(G) and mu(n)(G) are the maximum and minimum eigenvalues of the signless Laplacian matrix of G, respectively. In this paper, we will present some new lower and upper bounds for SQ(G) in terms of clique and independence numbers. In the final section, as an application of the theory obtained in here, we will also show some new upper bounds for the spread of the singless Laplacian of tensor products of any two simple graphs.

引用

页码：283 / 294

页数：12

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