The complete classification of empty lattice 4-simplices

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UDC.coleccionInvestigaciónes_ES
UDC.departamentoCiencias da Computación e Tecnoloxías da Informaciónes_ES
UDC.endPage160es_ES
UDC.grupoInvInformation Retrieval Lab (IRlab)es_ES
UDC.journalTitleElectronic Notes in Discrete Mathematicses_ES
UDC.startPage155es_ES
UDC.volume68es_ES
dc.contributor.authorIglesias Valiño, Óscar
dc.contributor.authorSantos, Francisco
dc.date.accessioned2025-01-30T12:01:39Z
dc.date.available2025-01-30T12:01:39Z
dc.date.issued2018-07
dc.description©2018 Elsevier B.V. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/bync-nd/4.0/. This version of the article has been accepted for publication in Electronic Notes in Discrete Mathematics. The Version of Record is available online at https://doi.org/10.1016/j.endm.2018.06.027es_ES
dc.description.abstract[Abstract]: In previous work we classified all empty 4-simplices of width at least three. We here classify those of width two. There are 2 two-parameter families that project to the second dilation of a unimodular triangle, 29+23 one-parameter families of them that project to hollow 3-polytopes, and 2282 individual ones that do not.es_ES
dc.description.sponsorshipSupported by grants MTM2014-54207-P (both authors) and BES-2015-073128 (O. Iglesias) of the Spanish Ministry of Economy and Competitiveness. F. Santos is also supported by the Einstein Foundation Berlines_ES
dc.description.sponsorshipEinstein Foundation Berlin; EVF-2015-230es_ES
dc.identifier.citationValiño, Ó. I., & Santos, F. (2018). The complete classification of empty lattice 4-simplices. Electronic Notes in Discrete Mathematics, 68, 155-160. https://doi.org/10.1016/j.endm.2018.06.027es_ES
dc.identifier.doi10.1016/j.endm.2018.06.027
dc.identifier.issn1571-0653
dc.identifier.urihttp://hdl.handle.net/2183/40983
dc.language.isoenges_ES
dc.publisherElsevier B.V.es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2014-54207-P/ES/COMBINATORIA Y COMPLEJIDAD DE ESTRUCTURAS GEOMETRICAS DISCRETAS/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83750-P/ES/COMBINATORIA Y COMPLEJIDAD DE ESTRUCTURAS GEOMETRICAS DISCRETASes_ES
dc.relation.urihttps://doi.org/10.1016/j.endm.2018.06.027es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Españaes_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectClassification of empty polytopeses_ES
dc.subjectEmpty simpliceses_ES
dc.subjectLattice polytopeses_ES
dc.titleThe complete classification of empty lattice 4-simpliceses_ES
dc.typejournal articlees_ES
dspace.entity.typePublication
relation.isAuthorOfPublication2525180e-687a-436c-9032-f46f72c38858
relation.isAuthorOfPublication.latestForDiscovery2525180e-687a-436c-9032-f46f72c38858

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