A sharp upper bound for the spectral radius of a nonnegative matrix and applications

Czechoslovak Mathematical Journal

Yujie Shu¹  Lihua You² 

[1] (corresponding author), School of Mathematical Sciences, MOE-LSC, SHL-MAC, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, P. R. China;Yujie Shu, School of Mathematical Sciences, South China Normal University, 55 Zhongshan W Ave, Tianhe, Guangzhou, Guangdong 510631, P. R. China

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

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance spectral radius, the distance Laplacian spectral radius, the distance signless Laplacian spectral radius of an undirected graph or a digraph. These results are new or generalize some known results.

【 授权许可】

Unknown