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http://hdl.handle.net/10773/15030
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DC Field | Value | Language |
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dc.contributor.author | Andrade, Enide | pt |
dc.contributor.author | Cardoso, Domingos | pt |
dc.contributor.author | Robbiano, Maria | pt |
dc.contributor.author | Rodriguez, Jonnathan | pt |
dc.date.accessioned | 2016-01-11T12:38:09Z | - |
dc.date.available | 2018-07-20T14:00:51Z | - |
dc.date.issued | 2015-12-01 | - |
dc.identifier.issn | 0024-3795 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15030 | - |
dc.description.abstract | The spread of an $n\times n$ complex matrix $B$ with eigenvalues $\beta _{1},\beta _{2},\ldots ,\beta _{n}$ is defined by \begin{equation*} s\left( B\right) =\max_{i,j}\left\vert \beta _{i}-\beta _{j}\right\vert , \end{equation*}% where the maximum is taken over all pairs of eigenvalues of $B$. Let $G$ be a graph on $n$ vertices. The concept of Laplacian spread of $G$ is defined by the difference between the largest and the second smallest Laplacian eigenvalue of $G$. In this work, by combining old techniques of interlacing eigenvalues and rank $1$ perturbation matrices new lower bounds on the Laplacian spread of graphs are deduced, some of them involving invariant parameters of graphs, as it is the case of the bandwidth, independence number and vertex connectivity. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | UID/MAT/04106/2013 | pt |
dc.relation | VRIDT-UCN 2014-220202-10301403 | pt |
dc.relation | CONICYT-PCHA/Doctorado Nacional/2015-21150477 | pt |
dc.rights | openAccess | por |
dc.subject | Spectral Graph Theory | pt |
dc.subject | Matrix spread | pt |
dc.subject | Laplacian Spread | pt |
dc.title | Laplacian spread of graphs: lower bounds and relations with invariant parameters | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 494 | pt |
degois.publication.lastPage | 503 | pt |
degois.publication.title | Linear Algebra and its Applications | pt |
degois.publication.volume | 486 | pt |
dc.date.embargo | 2016-11-30T12:00:00Z | - |
dc.identifier.doi | 10.1016/j.laa.2015.08.027 | pt |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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LaplacianSpread_Revised.pdf | 227.43 kB | Adobe PDF | View/Open |
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