Sharp upper bounds for the adjacency and the signless Laplacian spectral radius of graphs

被引:0
|
作者
Xian-zhang Wu
Jian-ping Liu
机构
[1] Fuzhou University,College of Mathematics and Computer Science
[2] Minjiang University,College of Mathematics and Data Science
[3] Fuzhou University,Key Laboratory of Intelligent Metro of Universities in Fujian Province
关键词
graph; spectral radius; signless Laplacian spectral radius; upper bound; 05C50;
D O I
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中图分类号
学科分类号
摘要
Let G be a simple graph with n vertices and m edges. In this paper, we present some new upper bounds for the adjacency and the signless Laplacian spectral radius of graphs in which every pair of adjacent vertices has at least one common adjacent vertex. Our results improve some known upper bounds. The main tool we use here is the Lagrange identity.
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页码:100 / 112
页数:12
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