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On the spectra of some graphs like weighted rooted trees

dc.contributor.authorFernandes, Rosário
dc.contributor.authorGomes, Helena Margarida dos Santos Vasconcelos
dc.contributor.authorMartins, Enide
dc.date.accessioned2012-09-20T10:52:17Z
dc.date.available2012-09-20T10:52:17Z
dc.date.issued2008
dc.description.abstractWe give a complete characterization of the eigenvalues of the Laplacian matrix and adjacency matrix of G. They are the eigenvalues of leading principal submatrices of two nonnegative symmetric tridiagonal matrices of order k × k and the roots of some polynomials related with the characteristic polynomial of the referred submatrices. By application of the above mentioned results, we derive an upper bound on the largest eigenvalue of a graph defined by a weighted tree and a weighted triangle attached, by one of its vertices, to a pendant vertex of the tree.por
dc.identifier.urihttp://hdl.handle.net/10400.19/1176
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherScienceDirectpor
dc.titleOn the spectra of some graphs like weighted rooted treespor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleLinear Algebra and its Applicationspor
oaire.citation.volume428por
person.familyNamedos Santos Vasconcelos Gomes
person.givenNameHelena Margarida
person.identifier.ciencia-id1615-CFD4-B746
person.identifier.orcid0000-0001-7517-891X
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationc18ebff2-df72-4a11-95f8-be6a80f73eb0
relation.isAuthorOfPublication.latestForDiscoveryc18ebff2-df72-4a11-95f8-be6a80f73eb0

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