Mostrar el registro sencillo del ítem

A new generic class of Frankl’s families

dc.creatorColomb, Pierre
dc.creatorIrlande, Alexis
dc.creatorRaynaud, Olivier
dc.creatorRenaud, Yoan
dc.date2013-05-27
dc.date.accessioned2022-03-24T17:51:52Z
dc.date.available2022-03-24T17:51:52Z
dc.identifierhttps://journal.poligran.edu.co/index.php/elementos/article/view/184
dc.identifier10.15765/e.v1i1.184
dc.identifier.urihttp://hdl.handle.net/10823/6223
dc.descriptionFrankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is an element that belongs to at least half of the sets of F. There are several partial results of this conjecture. For example, it has been shown that families in which the smallest set is of size 1 or 2, or families closed both by union and by intersection are Frankl’s. In this article, by basing ourselves on an unseen recursive definition of the family of sets closed by union, we will define a new class of Frankl’s families. Subsequently, we will evaluate the size of this class for the first 6 values of n. Finally we will show that this class does not coincide with the already known Frankl’s classes.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherPolitécnico Grancolombianoes-ES
dc.relationhttps://journal.poligran.edu.co/index.php/elementos/article/view/184/166
dc.sourceELEMENTOS; Vol. 1 No. 1 (2011): Elementosen-US
dc.sourceElementos; Vol. 1 Núm. 1 (2011): Elementoses-ES
dc.source2248-5252
dc.source2027-923X
dc.source10.15765/e.v1i1
dc.titleA new generic class of Frankl’s familieses-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


Ficheros en el ítem

FicherosTamañoFormatoVer

No hay ficheros asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

  • Elementos [66]
    Revista semestral de divulgación académica en ingeniería

Mostrar el registro sencillo del ítem