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Change in vertex status after removal of another vertex in the general setting

2021-03-01Artigo científico Acesso aberto
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dc.contributor.authorJohnson, Charles R.
dc.contributor.authorSaiago, Carlos M.
dc.contributor.authorToyonaga, Kenji
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.pblElsevier
dc.date.accessioned2022-03-30T23:02:48Z
dc.date.available2022-12-17T01:31:38Z
dc.date.embargoedUntil2022-12-16
dc.date.issued2021-03-01
dc.description
dc.description.abstractIn the theory of multiplicities for eigenvalues of symmetric matrices whose graph is a tree, it proved very useful to understand the change in status (Parter, neutral, or downer) of one vertex upon removal of another vertex of given status (both in case the two vertices are adjacent or non-adjacent). As the subject has evolved toward the study of more general matrices, over more general fields, with more general graphs, it is appropriate to resolve the same type of question in the more general settings. “Multiplicity” now means geometric multiplicity. Here, we give a complete resolution in three more general settings and compare these with the classical case (216 “Yes” or “No” results). As a consequence, several unexpected insights are recorded.en
dc.description.versionauthorsversion
dc.description.versionpublished
dc.format.extent18
dc.format.extent203089
dc.identifier.doi10.1016/j.laa.2020.11.023
dc.identifier.issn0024-3795
dc.identifier.otherPURE: 27629983
dc.identifier.otherPURE UUID: 433c4e7b-4311-498a-95ad-a6cc8b897bd5
dc.identifier.otherScopus: 85097800652
dc.identifier.otherWOS: 000603481000007
dc.identifier.otherORCID: /0000-0001-9843-3821/work/99432471
dc.identifier.urihttp://hdl.handle.net/10362/135559
dc.identifier.urlhttps://www.scopus.com/pages/publications/85097800652
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
dc.relationCenter for Mathematics and Applications
dc.subjectCombinatorially symmetric
dc.subjectEigenvalue
dc.subjectGeometric multiplicity
dc.subjectGraph of a matrix
dc.subjectTree
dc.subjectAlgebra and Number Theory
dc.subjectNumerical Analysis
dc.subjectGeometry and Topology
dc.subjectDiscrete Mathematics and Combinatorics
dc.titleChange in vertex status after removal of another vertex in the general settingen
dc.typejournal article
degois.publication.firstPage128
degois.publication.lastPage145
degois.publication.titleLinear Algebra and its Applications
degois.publication.volume612
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublicationd00ae22f-ec2b-47b2-935e-60cb44493cc6
relation.isProjectOfPublication.latestForDiscoveryd00ae22f-ec2b-47b2-935e-60cb44493cc6

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