Mostra el registre d'ítem simple
Polygons as sections of higher-dimensional polytopes
dc.contributor.author | Padrol Sureda, Arnau |
dc.contributor.author | Pfeifle, Julián |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-04-28T14:55:10Z |
dc.date.available | 2016-04-28T14:55:10Z |
dc.date.issued | 2015-02-09 |
dc.identifier.citation | Padrol, 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.issn | 1077-8926 |
dc.identifier.uri | http://hdl.handle.net/2117/86389 |
dc.description.abstract | We 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.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | polygon |
dc.subject.other | polytope projections and sections |
dc.subject.other | extension complexity |
dc.subject.other | non-negative rank |
dc.subject.other | nonrealizability |
dc.subject.other | pseudo-line arrangements |
dc.subject.other | Factorizations |
dc.subject.other | Cone |
dc.title | Polygons as sections of higher-dimensional polytopes |
dc.type | Article |
dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::05 Combinatorics |
dc.relation.publisherversion | http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p24/pdf |
dc.rights.access | Open Access |
local.identifier.drac | 15519548 |
dc.description.version | Postprint (published version) |
local.citation.author | Padrol, A.; Pfeifle, J. |
local.citation.publicationName | Electronic journal of combinatorics |
local.citation.volume | 22 |
local.citation.number | 1 |
local.citation.startingPage | 1.24-1 |
local.citation.endingPage | 1.24-16 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.234]
-
Articles de revista [75]