Fixed points of personalized PageRank centrality: From irreducible to reducible networks

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dc.contributor.authorGonzález de la Aleja Gallego, David
dc.contributor.authorFlores, Julio
dc.contributor.authorPrimo Tárraga, Eva
dc.contributor.authorRODRIGUEZ, Daniel
dc.contributor.authorRomance del Río, Miguel
dc.date.accessioned2026-02-18T12:50:56Z
dc.date.issued2026-03-15
dc.date.updated2026-02-18T11:10:05Z
dc.description.abstractIn this paper we analyze PageRank of a complex network as a function of its personalization vector. By using this approach, a complete characterization of the existence and uniqueness of fixed points of the PageRank of a graph is given in terms of the number and nature of its strongly connected components. The method presented essentially follows the classic Power's Method by means of a feedback-PageRank that allows to precisely compute the fixed points, in terms of the (left-hand) Perron vector of each strongly connected component. (c) 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).
dc.formatapplication/pdf
dc.identifier.citationAleja, David; Flores, Julio; Primo, Eva; Rodriguez, Daniel; Romance, Miguel (2026). Fixed points of personalized PageRank centrality: From irreducible to reducible networks. Linear Algebra And Its Applications, 733(), 233-272. DOI: 10.1016/j.laa.2025.12.014
dc.identifier.doihttps://doi.org/10.1016/j.laa.2025.12.014
dc.identifier.issn0024-3795
dc.identifier.publicationfirstpage233
dc.identifier.publicationlastpage272
dc.identifier.publicationtitleLinear Algebra and its Applications
dc.identifier.publicationvolume733
dc.identifier.urihttps://hdl.handle.net/10115/171497
dc.language.isoen
dc.publisherElsevier
dc.relation.isformatofhttps://doi.org/10.1016/j.laa.2025.12.014
dc.relation.ispartofLinear Algebra And Its Applications, 2026, 733, 233-272
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceLinear Algebra And Its Applications
dc.subjectAlgebra and number theory
dc.subjectAstronomia / física
dc.subjectCiência da computação
dc.subjectDiscrete mathematics and combinatorics
dc.subjectEconomia
dc.subjectEducação
dc.subjectEngenharias i
dc.subjectEngenharias iii
dc.subjectEngenharias iv
dc.subjectEnsino
dc.subjectGeometry and topology
dc.subjectInterdisciplinar
dc.subjectMatemática / probabilidade e estatística
dc.subjectMathematics
dc.subjectMathematics, applied
dc.subjectMedicina iii
dc.subjectNumerical analysis
dc.titleFixed points of personalized PageRank centrality: From irreducible to reducible networks
dc.typearticle
dc.type.hasVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85

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