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.
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Universidad Católica del Norte, Departamento de Matemáticas
2012
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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 |