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 Bounds for the signless laplacian energy
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4223

title: Bounds for the signless laplacian energy
authors: Abreu, N.
Cardoso, Domingos M.
Gutman, I.
Martins, E.A.
Robbiano, M.
keywords: 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
issue date: 2011
publisher: Elsevier
abstract: 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.
URI: http://hdl.handle.net/10773/4223
ISSN: 0024-3795
publisher version/DOI: http://www.sciencedirect.com/science/article/pii/S002437951000546X
source: Linear Algebra and Its Applications
appears in collectionsMAT - Artigos

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