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

Research paper by Lihua You, Yujie Shu, Xiao-Dong Zhang

Indexed on: 20 Jul '16Published on: 20 Jul '16Published in: Mathematics - Combinatorics

#### Abstract

In this paper, 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 a graph or a digraph. These results are new or generalize some known results.