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

Journal of Inequalities and Applications

Jun He¹  Jun-Kang Tian¹  Xiang-Hu Liu¹  Yan-Min Liu¹ 

[1] School of Mathematics, Zunyi Normal College;

关键词: nonnegative matrix;    graph;    digraph;    spectral radius;   

DOI  :  10.1186/s13660-017-1536-3

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown