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dc.contributor.authorBendito Pérez, Enrique
dc.contributor.authorCarmona Mejías, Ángeles
dc.contributor.authorEncinas Bachiller, Andrés Marcos
dc.contributor.authorGesto Beiroa, José Manuel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2006-12-01T17:29:22Z
dc.date.available2006-12-01T17:29:22Z
dc.date.issued2006-09
dc.identifier.urihttp://hdl.handle.net/2117/588
dc.description.abstractWe aim here at obtaining bounds on the first non-null eigenvalue for self-adjoint boundary value problems on a weighted network by means of equilibrium measures, that includes the study of Dirichlet, Neumann and Mixed problems. We also show the sharpness of these bounds throughout the analysis of some known examples. In particular, we emphasize the case of distance-regular graphs, and we show that the bounds obtained are better than the known until now.
dc.format.extent16
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta
dc.subject.lcshDiscrete mathematics
dc.subject.lcshBoundary value problems
dc.subject.lcshEigenvalues
dc.subject.otherNetworks
dc.subject.otherSelf-adjoint eigenvalue problems
dc.subject.otherDiscrete laplacian
dc.subject.otherEquilibrium measures
dc.subject.otherDistance-regular graphs
dc.titleBounds on the first non-null eigenvalue for self-adjoint boundary value problems on networks
dc.typeArticle
dc.subject.lemacMatemàtica discreta
dc.subject.lemacXarxes de comunicacions -- Matemàtica
dc.subject.lemacValors propis
dc.contributor.groupUniversitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34B Boundary value problems {For ordinary differential operators, see 34Lxx}
dc.rights.accessOpen Access
dc.relation.projectidcttBFM2003-06014
local.personalitzacitaciotrue


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