Publication
The number of P-vertices in a matrix with maximum nullity
| dc.contributor.author | Fernandes, Rosário | |
| dc.contributor.author | Cruz, Henrique F. Da | |
| dc.date.accessioned | 2020-02-28T14:39:19Z | |
| dc.date.available | 2024-06-15T00:30:16Z | |
| dc.date.issued | 2018-06-15 | |
| dc.description.abstract | Let T be a tree with n≥2 vertices. Set S(T) for the set of all real symmetric matrices whose graph is T. Let A∈S(T) and i∈{1,…,n} . We denote by A(i) the principal submatrix of A obtained after deleting the row and column i. We set mA(i)(0)=mA(0)+1, we say that i is a P-vertex of A. As usual, M(T) denotes the maximum nullity occurring of B∈S(T). In this paper we determine an upper bound and a lower bound for the number of P-vertices in a matrix A∈S(T)with nullity M(T). We also prove that if the integer b is between these two bounds, then there is a matrix E∈S(T) with b P-vertices and maximum nullity. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.laa.2018.02.018 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9625 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.subject | Trees | pt_PT |
| dc.subject | Parter vertices | pt_PT |
| dc.subject | Maximum nullity | pt_PT |
| dc.title | The number of P-vertices in a matrix with maximum nullity | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00297%2F2013/PT | |
| oaire.citation.endPage | 182 | pt_PT |
| oaire.citation.startPage | 168 | pt_PT |
| oaire.citation.title | Linear Algebra and its Applications | pt_PT |
| oaire.citation.volume | 547 | pt_PT |
| oaire.fundingStream | 5876 | |
| person.familyName | Fernandes | |
| person.familyName | Cruz | |
| person.givenName | Rosário | |
| person.givenName | Henrique F. da | |
| person.identifier.ciencia-id | F51C-3170-CEC1 | |
| person.identifier.ciencia-id | 8514-E7A7-73D2 | |
| person.identifier.orcid | 0000-0003-2695-9079 | |
| person.identifier.orcid | 0000-0003-2941-3194 | |
| person.identifier.scopus-author-id | 7103259642 | |
| person.identifier.scopus-author-id | 55926700000 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.embargofct | Direitos de autor | pt_PT |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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