Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix
Combinatorics
2015-07-28 v1
Abstract
In this paper, we obtain the sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. We also apply these bounds to various matrices associated with a graph or a digraph, obtain some new results or known results about various spectral radii, including the adjacency spectral radius, the signless Laplacian spectral radius, the distance spectral radius, the distance signless Laplacian spectral radius of a graph or a digraph.
Keywords
Cite
@article{arxiv.1507.07059,
title = {Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix},
author = {Lihua You and Yujie Shu and Pingzhi Yuan},
journal= {arXiv preprint arXiv:1507.07059},
year = {2015}
}
Comments
19 pages