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hal.structure.identifierLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
dc.contributor.authorBouyssou, Denis
dc.contributor.authorMarchant, Thierry
dc.contributor.authorPirlot, Marc
dc.date.accessioned2021-10-14T08:36:53Z
dc.date.available2021-10-14T08:36:53Z
dc.date.issued2020
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/21994
dc.language.isoenen
dc.subjectmaximal antichainen
dc.subjectSperneren
dc.subjectmultichoice cooperative gameen
dc.subjectlinear ordersen
dc.subject.ddc519en
dc.titleThe size of the maximum antichains in products of linear ordersen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe size of maximum antichains in the product of n linear orders is known when the n linear orders have the same length. We present an exact expression for the size of maximum antichains when the linear orders have (possibly) different lengths. From this, we derive an exact expression for the size of maximum antichains in the product of n linear orders with the same length. This expression is equivalent to but different from the existing expression. It allows us to present an asymptotic result for the size of maximum antichains of n linear orders with the same length m going to infinity.en
dc.relation.isversionofjnlnameTOP An Official Journal of the Spanish Society of Statistics and Operations Research
dc.relation.isversionofjnlissue29en
dc.relation.isversionofjnldate2021-10
dc.relation.isversionofjnlpages648–659en
dc.relation.isversionofdoi10.1007/s11750-020-00587-6en
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewednonen
dc.date.updated2021-10-14T08:28:59Z
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


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