Classification of empty lattice 4-simplices of width larger than 2
| UDC.coleccion | Investigación | es_ES |
| UDC.departamento | Ciencias da Computación e Tecnoloxías da Información | es_ES |
| UDC.endPage | 653 | es_ES |
| UDC.grupoInv | Information Retrieval Lab (IRlab) | es_ES |
| UDC.journalTitle | Electronic Notes in Discrete Mathematics | es_ES |
| UDC.startPage | 647 | es_ES |
| UDC.volume | 61 | es_ES |
| dc.contributor.author | Iglesias Valiño, Óscar | |
| dc.contributor.author | Santos, Francisco | |
| dc.date.accessioned | 2025-01-31T09:59:07Z | |
| dc.date.available | 2025-01-31T09:59:07Z | |
| dc.date.issued | 2017 | |
| dc.description | ©2017 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.2017.07.019 | es_ES |
| dc.description.abstract | [Abstract]: Combining an upper bound on the volume of empty lattice 4-simplices of large width with a computer enumeration we prove the following conjecture of Haase and Ziegler (2000): Except for 179 classes, of determinant at most 179, all empty 4-simplices have width one or two with respect to some integer functional. | es_ES |
| dc.description.sponsorship | Supported 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 Berlin. | es_ES |
| dc.identifier.citation | Iglesias Valiño, Ó., & Santos, F. (2017). Classification of empty lattice 4-simplices of width larger than 2. Electronic Notes in Discrete Mathematics, 61, 647-653. https://doi.org/10.1016/j.endm.2017.07.019 | es_ES |
| dc.identifier.doi | 10.1016/j.endm.2017.07.019 | |
| dc.identifier.issn | 1571-0653 | |
| dc.identifier.uri | http://hdl.handle.net/2183/41000 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier B.V. | es_ES |
| dc.relation.projectID | info: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.projectID | info: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 DISCRETAS | es_ES |
| dc.relation.uri | https://doi.org/10.1016/j.endm.2017.07.019 | es_ES |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | es_ES |
| dc.rights.accessRights | open access | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.subject | Classification of empty polytopes | es_ES |
| dc.subject | Empty simplices | es_ES |
| dc.subject | Lattice polytopes | es_ES |
| dc.title | Classification of empty lattice 4-simplices of width larger than 2 | es_ES |
| dc.type | journal article | es_ES |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2525180e-687a-436c-9032-f46f72c38858 | |
| relation.isAuthorOfPublication.latestForDiscovery | 2525180e-687a-436c-9032-f46f72c38858 |
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