On the Laplacian spectral radius of weighted trees with fixed diameter and weight set

被引：5
|
作者：
Tan, Shang-Wang [1 ]
Jiang, Jing-Jing [1 ]
机构：
[1] China Univ Petr, Dept Math, Dongying 257061, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2011年 / 59卷 / 02期
基金：
中国国家自然科学基金;
关键词：
weighted graph; weighted tree; Laplacian spectral radius; Perron vector; LOWER BOUNDS; EIGENVALUE; INDEX;
D O I：
10.1080/03081080903279980
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The spectrum of weighted graphs is often used to solve the problems in the design of networks and electronic circuits. We first give some perturbational results on the (signless) Laplacian spectral radius of weighted graphs when some weights of edges are modified, then we determine the weighted tree with the largest Laplacian spectral radius in the set of all weighted trees with fixed diameter and positive weight set.
引用
收藏
页码：173 / 192
页数：20
相关论文
共 50 条
12345