On the spectral radius of weighted digraphs

We consider the weighted digraphs in which the arc weights are positive definite matrices. We obtain some upper bounds for the spectral radius of these digraphs and characterize the digraphs achieving the upper bounds. Some known upper bounds are then special cases of our results.

Guardado en:
Detalles Bibliográficos
Autores principales: Burcu Bozkurt,S, Bozkurt,Durmus
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2012
Materias:
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000300005
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:scielo:S0716-09172012000300005
record_format dspace
spelling oai:scielo:S0716-091720120003000052012-11-13On the spectral radius of weighted digraphsBurcu Bozkurt,SBozkurt,Durmus Weighted digraph spectral radius upper bound. We consider the weighted digraphs in which the arc weights are positive definite matrices. We obtain some upper bounds for the spectral radius of these digraphs and characterize the digraphs achieving the upper bounds. Some known upper bounds are then special cases of our results.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.3 20122012-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000300005en10.4067/S0716-09172012000300005
institution Scielo Chile
collection Scielo Chile
language English
topic Weighted digraph
spectral radius
upper bound.
spellingShingle Weighted digraph
spectral radius
upper bound.
Burcu Bozkurt,S
Bozkurt,Durmus
On the spectral radius of weighted digraphs
description We consider the weighted digraphs in which the arc weights are positive definite matrices. We obtain some upper bounds for the spectral radius of these digraphs and characterize the digraphs achieving the upper bounds. Some known upper bounds are then special cases of our results.
author Burcu Bozkurt,S
Bozkurt,Durmus
author_facet Burcu Bozkurt,S
Bozkurt,Durmus
author_sort Burcu Bozkurt,S
title On the spectral radius of weighted digraphs
title_short On the spectral radius of weighted digraphs
title_full On the spectral radius of weighted digraphs
title_fullStr On the spectral radius of weighted digraphs
title_full_unstemmed On the spectral radius of weighted digraphs
title_sort on the spectral radius of weighted digraphs
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2012
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000300005
work_keys_str_mv AT burcubozkurts onthespectralradiusofweighteddigraphs
AT bozkurtdurmus onthespectralradiusofweighteddigraphs
_version_ 1718439784757592064