Sharp Bounds on the Signless Laplacian Spread of Graphs

被引：0

作者：

Li, Dong ^{[1
]}

Liu, Huiqing ^{[1
]}

Zhang, Shunzhe ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Hubei, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 04期

关键词：

Signless Laplacian spread; k-degree; Independence number; EIGENVALUES; ENERGY;

D O I：

10.1007/s41980-018-0181-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a connected graph of order n. The signless Laplacian spread of G is defined as SQ(G) = q1(G) - qn(G), where q1(G) and qn(G) are the maximum and minimum eigenvalues of the signless Laplacian matrix of G, respectively. In this paper, we present some sharp lower bounds for SQ(G) and SQ(G) + SQ(Gc) in terms of the k- degree and the independence number, respectively.

引用

页码：1011 / 1020

页数：10

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