Eigenvectors of isospectral graph transformations
| dc.contributor.author | Duarte, P. | por |
| dc.contributor.author | Torres, M. J. | por |
| dc.date.accessioned | 2015-08-31T10:26:49Z | |
| dc.date.available | 2015-08-31T10:26:49Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | L.A. Bunimovich and B.Z. Webb developed a theory for isospectral graph reduction. We make a simple observation regarding the relation between eigenvectors of the original graph and its reduction, that sheds new light on this theory. As an application we propose an updating algorithm for the maximal eigenvector of the Markov matrix associated to a large sparse dynamical network. | por |
| dc.description.sponsorship | The first author was partially supported by Fundacao para a Ciencia e a Tecnologia, PEst, OE/MAT/UI0209/2011.The second author was partially supported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the "Fundacao para a Ciencia e a Tecnologia", through the Project PEstOE/MAT/UI0013/2014. | por |
| dc.distribution | international | por |
| dc.identifier.doi | 10.1016/j.laa.2015.01.038 | por |
| dc.identifier.issn | 0024-3795 | por |
| dc.identifier.uri | https://hdl.handle.net/1822/36662 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Elsevier | por |
| dc.relation | Maria Joana Torres was partially supported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the "Fundação para a Ciência e a Tecnologia", through the Project PEstOE/MAT/UI0013/2014. | por |
| dc.relation.publisherversion | The original publication is available at www.elsevier.com | por |
| dc.rights | restrictedAccess | por |
| dc.subject | Isospectral graph reduction | por |
| dc.subject | Eigenvector | por |
| dc.subject.fos | Ciências Naturais::Matemáticas | por |
| dc.subject.wos | Science & Technology | por |
| dc.title | Eigenvectors of isospectral graph transformations | por |
| dc.type | article | por |
| dspace.entity.type | Publication | en |
| oaire.citationEndPage | 123 | por |
| oaire.citationIssue | 1 | por |
| oaire.citationStartPage | 110 | por |
| oaire.citationTitle | Linear Algebra and its Applications | por |
| oaire.citationVolume | 474 | por |
| sdum.journal | Linear Algebra and its Applications | por |
| sdum.publicationstatus | published | por |
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