dc.creator | Blanco Izquierdo, Víctor | |
dc.creator | Puerto Albandoz, Justo | |
dc.date.accessioned | 2016-02-25T09:37:39Z | |
dc.date.available | 2016-02-25T09:37:39Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Blanco Izquierdo, V. y Puerto Albandoz, J. (2012). An application of integer programming to the decomposition of numerical semigroups. SIAM Journal on Discrete Mathematics, 26 (3), 1210-1237. | es |
dc.identifier.issn | 0895-4801 | es |
dc.identifier.issn | 1095-7146 | es |
dc.identifier.uri | http://hdl.handle.net/11441/36532 | |
dc.description.abstract | This paper addresses the problem of decomposing a numerical semigroup into mirreducible numerical semigroups. The problem originally stated in algebraic terms is translated, introducing the so-called Kunz-coordinates, to resolve a series of several discrete optimization problems.
First, we prove that finding a minimal m-irreducible decomposition is equivalent to solve a multiobjective linear integer problem. Then, we restate that problem as the problem of finding all the optimal solutions of a finite number of single objective integer linear problems plus a set covering
problem. Finally, we prove that there is a suitable transformation that reduces the original problem to find an optimal solution of a compact integer linear problem. This result ensures a polynomial time algorithm for each given multiplicity m. We have implemented the different algorithms and
have performed some computational experiments to show the efficiency of our methodology. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Discrete Mathematics, 26(3), 1210-1237 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | integer programming | es |
dc.subject | numerical semigroups | es |
dc.subject | irreducibility | es |
dc.subject | multiplicity | es |
dc.title | An application of integer programming to the decomposition of numerical semigroups | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa | es |
dc.relation.projectID | MTM2007-67433-C02-01 | es |
dc.relation.projectID | MTM2010-19576-C02-01 | es |
dc.relation.projectID | FQM-5849 | es |
dc.identifier.doi | 10.1137/110821809 | es |
dc.journaltitle | SIAM Journal on Discrete Mathematics | es |
dc.publication.volumen | 26 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 1210 | es |
dc.publication.endPage | 1237 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/36532 | |