Bounds for the signless laplacian energy
| Data(s) |
31/10/2011
2011
|
|---|---|
| Resumo |
The energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacency matrix of G. The Laplacian (respectively, the signless Laplacian) energy of G is the sum of the absolute values of the differences between the eigenvalues of the Laplacian (respectively, signless Laplacian) matrix and the arithmetic mean of the vertex degrees of the graph. In this paper, among some results which relate these energies, we point out some bounds to them using the energy of the line graph of G. Most of these bounds are valid for both energies, Laplacian and signless Laplacian. However, we present two new upper bounds on the signless Laplacian which are not upper bounds for the Laplacian energy. © 2010 Elsevier Inc. All rights reserved. FCT FEDER/POCI 2010 CNPq PQ-305016/2006–2007 Serbian Ministry of Science No. 144015G Mecesup 2 UCN 0605 Fondecyt-IC Project 11090211 |
| Identificador |
0024-3795 |
| Idioma(s) |
eng |
| Publicador |
Elsevier |
| Relação |
http://www.scopus.com/inward/record.url?eid=2-s2.0-79958834547&partnerID=40&md5=91bfd0855fcab6f2b1875e2fc0b100c6 http://www.sciencedirect.com/science/article/pii/S002437951000546X |
| Direitos |
open access restrictedAccess |
| Palavras-Chave | #Graph spectrum #Laplacian energy #Laplacian graph spectrum #Signless Laplacian energy #Signless Laplacian spectrum #Absolute values #Adjacency matrices #Arithmetic mean #Eigenvalues #Energy of a graph #Graph spectra #Laplacians #Line graph #matrix #Signless Laplacian energy #Signless Laplacian spectrum #Upper Bound #Vertex degree #Eigenvalues and eigenfunctions #Laplace transforms |
| Tipo |
article |
