On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation

dc.contributor.authorCalvo Pascual, Luis Ángeles-ES
dc.contributor.authorMerchán Rubira, Susanaes-ES
dc.contributor.authorRaboso Paniagua, Dulcineaes-ES
dc.contributor.authorRodrigo Hitos, Javieres-ES
dc.contributor.authorRodríguez García, José Samueles-ES
dc.date.accessioned2026-09-02T04:44:22Z
dc.date.issued2026-12-31
dc.descriptionArtículos en revistas
dc.description.abstractMotivated by an open problem in the literature stated by Mirzakhani and Vondrák, we give a lower bound of the number of non-monochromatic simplices for Sperner labelings of the vertices of a triangulation of a given k-simplex with vertices of integer coordinates. This triangulation maximizes the number of simplices over all the triangulations of the k-simplex with vertices of integer coordinates.es-ES
dc.description.abstractMotivated by an open problem in the literature stated by Mirzakhani and Vondrák, we give a lower bound of the number of non-monochromatic simplices for Sperner labelings of the vertices of a triangulation of a given k-simplex with vertices of integer coordinates. This triangulation maximizes the number of simplices over all the triangulations of the k-simplex with vertices of integer coordinates.en-GB
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.issn1932-6203
dc.identifier.urihttps://doi.org/10.1371/journal.pone.0356507
dc.identifier.urihttp://hdl.handle.net/11531/113749
dc.keywordsSperner labeling; Hypergraph labeling problem; Discrete Optimization.es-ES
dc.keywordsSperner labeling; Hypergraph labeling problem; Discrete Optimization.en-GB
dc.language.isoen-GB
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceRevista: PLoS One, Periodo: 1, Volumen: online, Número: 8, Página inicial: e0356507, Página final: 0
dc.subject.otherInstituto de Investigación Tecnológica (IIT)
dc.titleOn the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation
dc.typeinfo:eu-repo/semantics/article

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