图的各类矩阵表示的谱半径的界（英文）  

Bounds for Spectral Radius of Various Matrices Associated With Graphs

作　　者：崔淑玉[1] 田贵贤[2] 

机构地区：[1]浙江师范大学行知学院,金华浙江321004 [2]浙江师范大学数理与信息工程学院,金华浙江321004

出　　处：《数学进展》2016年第5期711-720,共10页Advances in Mathematics（China）

基　　金：supported in part by NSFC(No.11371328,No.11271334);the Natural Science Foundation of Zhejiang Province(No.LY15A010011)

摘　　要：本文首先借助正尺度向量得到了非负不可约矩阵谱半径的界,结果改进和推广了部分已知结果.更进一步地,应用所得结果到图G的各类矩阵表示,得到了图G的带有参数α的各类谱半径的新上下界,这些结果理论上改进和推广了一些已有结果.In this paper, using a positive scale vector, we first give some bounds for the spectral radius of a nonnegative irreducible matrix, which improve and generalize some known results. Applying these bounds to various matrices associated with a graph G, we obtain some new upper and lower bounds for various spectral radii of G with parameterα , which theoretically improve and generalize some known results.

关 键 词：非负矩阵 谱半径 邻接矩阵 无符号Laplacian矩阵 距离矩阵 距离无符号Laplacian矩阵 

分 类 号：O157.5[理学—数学]