Mostra el registre d'ítem simple
Prodsimplicial-neighborly polytopes
dc.contributor.author | Matschke, Benjamin |
dc.contributor.author | Pfeifle, Julián |
dc.contributor.author | Pilaud, Vincent |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-11-30T10:36:15Z |
dc.date.available | 2010-11-30T10:36:15Z |
dc.date.created | 2010-11 |
dc.date.issued | 2010-11 |
dc.identifier.citation | Matschke, B.; Pfeifle, J.; Pilaud, V. Prodsimplicial-neighborly polytopes. "Discrete and computational geometry", Novembre 2010, vol. Online first. |
dc.identifier.issn | 0179-5376 |
dc.identifier.uri | http://hdl.handle.net/2117/10458 |
dc.description.abstract | We introduce PSN polytopes whose k-skeleton is combinatorially equivalent to that of a product of r simplices. They simultaneously generalize both neighborly and neighborly cubical polytopes. We construct PSN polytopes by three different methods, the most versatile of which is an extension of Sanyal & Ziegler’s “projecting deformed products” construction to products of arbitrary simple polytopes. For general r and k, the lowest dimension we achieve is 2k+r+1. Using topological obstructions similar to those introduced by Sanyal to bound the number of vertices of Minkowski sums, we show that this dimension is minimal if we moreover require the PSN polytope to be obtained as a projection of a polytope combinatorially equivalent to the product of r simplices, when the sum of their dimensions is at least 2k. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial |
dc.subject.lcsh | Polytopes |
dc.subject.lcsh | Combinatorial analysis |
dc.subject.lcsh | Topological algebras |
dc.title | Prodsimplicial-neighborly polytopes |
dc.type | Article |
dc.subject.lemac | Politops |
dc.subject.lemac | Anàlisi combinatòria |
dc.subject.lemac | Topologia algebraica |
dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
dc.identifier.doi | 10.1007/s00454-010-9311-yOnline First™ |
dc.rights.access | Open Access |
local.identifier.drac | 2516345 |
dc.description.version | Postprint (published version) |
local.citation.author | Matschke, B.; Pfeifle, J.; Pilaud, V. |
local.citation.publicationName | Discrete and computational geometry |
local.citation.volume | Online first |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.265]
-
Articles de revista [75]