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dc.contributor.authorPadrol Sureda, Arnau
dc.contributor.authorPfeifle, Julián
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2016-04-28T14:55:10Z
dc.date.available2016-04-28T14:55:10Z
dc.date.issued2015-02-09
dc.identifier.citationPadrol, A., Pfeifle, J. Polygons as sections of higher-dimensional polytopes. "Electronic journal of combinatorics", 09 Febrer 2015, vol. 22, núm. 1, p. 1.24-1-1.24-16.
dc.identifier.issn1077-8926
dc.identifier.urihttp://hdl.handle.net/2117/86389
dc.description.abstractWe show that every heptagon is a section of a 3-polytope with 6 vertices. This implies that every n-gon with n >= 7 can be obtained as a section of a (2 + [n/7])-dimensional polytope with at most [6n/7] vertices; and provides a geometric proof of the fact that every nonnegative n x rn matrix of rank 3 has nonnegative rank not larger than [6min(n,m)/7]. This result has been independently proved, algebraically, by Shitov (J. Combin. Theory Ser. A 122, 2014).
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherpolygon
dc.subject.otherpolytope projections and sections
dc.subject.otherextension complexity
dc.subject.othernon-negative rank
dc.subject.othernonrealizability
dc.subject.otherpseudo-line arrangements
dc.subject.otherFactorizations
dc.subject.otherCone
dc.titlePolygons as sections of higher-dimensional polytopes
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::05 Combinatorics
dc.relation.publisherversionhttp://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p24/pdf
dc.rights.accessOpen Access
local.identifier.drac15519548
dc.description.versionPostprint (published version)
local.citation.authorPadrol, A.; Pfeifle, J.
local.citation.publicationNameElectronic journal of combinatorics
local.citation.volume22
local.citation.number1
local.citation.startingPage1.24-1
local.citation.endingPage1.24-16


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