Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/13101
Title: | On the Laplacian and signless Laplacian spectrum of a graph with k pairwise co-neighbor vertices |
Author: | Abreu, Nair M.M. Cardoso, Domingos Moreira Martins, Enide A. Robbiano, Maria San Martin, B. |
Keywords: | Graph eigenvalues Signless Laplacian spectrum Laplacian Spectrum Pairwise co-neighbor vertices cluster |
Issue Date: | Nov-2012 |
Publisher: | Elsevier |
Abstract: | Consider the Laplacian and signless Laplacian spectrum of a graph G of order n, with k pairwise co-neighbor vertices. We prove that the number of shared neighbors is a Laplacian and a signless Laplacian eigenvalue of G with multiplicity at least k− 1. Additionally, considering a connected graph Gk with a vertex set defined by the k pairwise co-neighbor vertices of G, the Laplacian spectrum of Gk, obtained from G adding the edges of Gk, includes l + β for each nonzero Laplacian eigenvalue β of Gk. The Laplacian spectrum of G overlaps the Laplacian spectrum of Gk in at least n − k + 1 places. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/13101 |
DOI: | 10.1016/j.laa.2012.05.013 |
ISSN: | 0024-3795 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
on the Laplacian and signless Laplacian.pdf | Documento Principal | 338.71 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.