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

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.

Detalles Bibliográficos
Autores principales: He, Jun, Liu, Yan-Min, Tian, Jun-Kang, Liu, Xiang-Hu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5648768/
https://www.ncbi.nlm.nih.gov/pubmed/29104398
http://dx.doi.org/10.1186/s13660-017-1536-3
Descripción
Sumario: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.

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