New bounds on the distance Laplacian and distance signless Laplacian spectral radii
Abstract Let G be a simple undirected connected graph. In this paper, new upper bounds on the distance Laplacian spectral radius of G are obtained. Moreover, new lower and upper bounds for the distance signless Laplacian spectral radius of G are derived. Some of the above mentioned bounds are sharp...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190004008492019-11-04New bounds on the distance Laplacian and distance signless Laplacian spectral radiiDíaz,Roberto C.Julio,Ana I.Rojo,Óscar Distance matrix Vertex transmission Wiener index Distance Laplacian matrix Distance signless Laplacian matrix Spectral radius Abstract Let G be a simple undirected connected graph. In this paper, new upper bounds on the distance Laplacian spectral radius of G are obtained. Moreover, new lower and upper bounds for the distance signless Laplacian spectral radius of G are derived. Some of the above mentioned bounds are sharp and the graphs attaining the corresponding bound are characterized. Several illustrative examples are included.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.4 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400849en10.22199/issn.0717-6279-2019-04-0056 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Distance matrix Vertex transmission Wiener index Distance Laplacian matrix Distance signless Laplacian matrix Spectral radius |
spellingShingle |
Distance matrix Vertex transmission Wiener index Distance Laplacian matrix Distance signless Laplacian matrix Spectral radius Díaz,Roberto C. Julio,Ana I. Rojo,Óscar New bounds on the distance Laplacian and distance signless Laplacian spectral radii |
description |
Abstract Let G be a simple undirected connected graph. In this paper, new upper bounds on the distance Laplacian spectral radius of G are obtained. Moreover, new lower and upper bounds for the distance signless Laplacian spectral radius of G are derived. Some of the above mentioned bounds are sharp and the graphs attaining the corresponding bound are characterized. Several illustrative examples are included. |
author |
Díaz,Roberto C. Julio,Ana I. Rojo,Óscar |
author_facet |
Díaz,Roberto C. Julio,Ana I. Rojo,Óscar |
author_sort |
Díaz,Roberto C. |
title |
New bounds on the distance Laplacian and distance signless Laplacian spectral radii |
title_short |
New bounds on the distance Laplacian and distance signless Laplacian spectral radii |
title_full |
New bounds on the distance Laplacian and distance signless Laplacian spectral radii |
title_fullStr |
New bounds on the distance Laplacian and distance signless Laplacian spectral radii |
title_full_unstemmed |
New bounds on the distance Laplacian and distance signless Laplacian spectral radii |
title_sort |
new bounds on the distance laplacian and distance signless laplacian spectral radii |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2019 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400849 |
work_keys_str_mv |
AT diazrobertoc newboundsonthedistancelaplaciananddistancesignlesslaplacianspectralradii AT julioanai newboundsonthedistancelaplaciananddistancesignlesslaplacianspectralradii AT rojooscar newboundsonthedistancelaplaciananddistancesignlesslaplacianspectralradii |
_version_ |
1718439858484019200 |