Some new sharp bounds for the spectral radius of a nonnegative matrix and its application

Journal of inequalities and applications

Jun He¹ 

关键词: nonnegative matrix;    graph;    digraph;    spectral radius;    05C50;    05C35;    05C20;    15A18;   

DOI  :  10.1186/s13660-017-1536-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.

【 授权许可】

CC BY