A Note on the Signless Laplacian and Distance Signless Laplacian Eigenvalues of Graphs

被引：0
|
作者：
Fenglei TIAN [1 ]
Xiaoming LI [1 ]
Jianling ROU [1 ]
机构：
[1] Department of Mathematics, China University of Mining and Technology
来源：
JournalofMathematicalResearchwithApplications | 2014年 / 34卷 / 06期
基金：
中国国家自然科学基金;
关键词：
signless Laplacian; distance signless Laplacian; spectral radius; eigenvalues;
D O I：
暂无
中图分类号：
O157.5 [图论];
学科分类号：
070104 ;
摘要：
Let G be a simple graph. We first show that ■, where δiand di denote the i-th signless Laplacian eigenvalue and the i-th degree of vertex in G, respectively.Suppose G is a simple and connected graph, then some inequalities on the distance signless Laplacian eigenvalues are obtained by deleting some vertices and some edges from G. In addition, for the distance signless Laplacian spectral radius ρQ(G), we determine the extremal graphs with the minimum ρQ(G) among the trees with given diameter, the unicyclic and bicyclic graphs with given girth, respectively.
引用
收藏
页码：647 / 654
页数：8
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