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Effective resistances and Kirchhoff index in subdivision networks

dc.contributor.authorCarmona Mejías, Ángeles
dc.contributor.authorMitjana Riera, Margarida
dc.contributor.authorMonsó Burgués, Enrique P.J.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-01-25T10:10:42Z
dc.date.available2017-01-25T10:10:42Z
dc.date.issued2016-11-12
dc.identifier.citationCarmona, A., Mitjana, M., Monso, E. Effective resistances and Kirchhoff index in subdivision networks. "Linear and multilinear algebra", 12 Novembre 2016, p. 1-15.
dc.identifier.issn0308-1087
dc.identifier.urihttp://hdl.handle.net/2117/100002
dc.description.abstractWe define a subdivision network ¿S of a given network ¿; by inserting a new vertex in every edge, so that each edge is replaced by two new edges with conductances that fulfill electrical conditions on the new network. In this work, we firstly obtain an expression for the Green kernel of the subdivision network in terms of the Green kernel of the base network. Moreover, we also obtain the effective resistance and the Kirchhoff index of the subdivision network in terms of the corresponding parameters on the base network. Finally, as an example, we carry out the computations in the case of a wheel.
dc.format.extent15 p.
dc.language.isoeng
dc.publisherTaylor & Francis
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshGraph theory
dc.subject.otherResistance distance
dc.subject.otherGreen kernel
dc.subject.otherKirchhoff Index
dc.subject.otherSubdivision network
dc.titleEffective resistances and Kirchhoff index in subdivision networks
dc.typeArticle
dc.subject.lemacGrafs, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes
dc.identifier.doi10.1080/03081087.2016.1256945
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::31 Potential theory::31C Other generalizations
dc.subject.amsClassificació AMS::15 Linear and multilinear algebra; matrix theory
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34B Boundary value problems
dc.relation.publisherversionhttp://www.tandfonline.com/doi/full/10.1080/03081087.2016.1256945
dc.rights.accessOpen Access
local.identifier.drac19286184
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//MTM2014-60450-R/ES/LA RESISTENCIA EFECTIVA COMO HERRAMIENTA PARA EL ESTUDIO DEL PROBLEMA INVERSO DE LAS CONDUCTANCIAS Y EL ANALISIS DE LAS PERTURBACIONES DE REDES/
local.citation.authorCarmona, A.; Mitjana, M.; Monso, E.
local.citation.publicationNameLinear and multilinear algebra
local.citation.startingPage1
local.citation.endingPage15


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