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http://hdl.handle.net/10773/13101
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DC Field | Value | Language |
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dc.contributor.author | Abreu, Nair M.M. | pt |
dc.contributor.author | Cardoso, Domingos Moreira | pt |
dc.contributor.author | Martins, Enide A. | pt |
dc.contributor.author | Robbiano, Maria | pt |
dc.contributor.author | San Martin, B. | pt |
dc.date.accessioned | 2015-01-07T12:07:00Z | - |
dc.date.issued | 2012-11 | - |
dc.identifier.issn | 0024-3795 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/13101 | - |
dc.description.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. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | PEst-C/MAT/UI4106/2011 | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876-PPCDTI/112276/PT | pt |
dc.rights | restrictedAccess | por |
dc.subject | Graph eigenvalues | pt |
dc.subject | Signless Laplacian spectrum | pt |
dc.subject | Laplacian Spectrum | pt |
dc.subject | Pairwise co-neighbor vertices | pt |
dc.subject | cluster | pt |
dc.title | On the Laplacian and signless Laplacian spectrum of a graph with k pairwise co-neighbor vertices | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 2308 | pt |
degois.publication.issue | 9 | pt |
degois.publication.lastPage | 2316 | pt |
degois.publication.title | Linear Algebra and its Applications | pt |
degois.publication.volume | 437 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1016/j.laa.2012.05.013 | pt |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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on the Laplacian and signless Laplacian.pdf | Documento Principal | 338.71 kB | Adobe PDF |
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