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Kalai's squeezed 3-spheres are polytopal
dc.contributor.author | Pfeifle, Julián |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-06-18T15:21:34Z |
dc.date.available | 2010-06-18T15:21:34Z |
dc.date.created | 2002 |
dc.date.issued | 2002 |
dc.identifier.citation | Pfeifle, J. Kalai's squeezed 3-spheres are polytopal. "Discrete and computational geometry", 2002, vol. 27, p. 395-407. |
dc.identifier.issn | 0179-5376 |
dc.identifier.uri | http://hdl.handle.net/2117/7735 |
dc.description.abstract | In 1988, Kalai [5] extended a construction of Billera and Lee to produce many triangulated(d−1)-spheres. In fact, in view of upper bounds on the number of simplicial d-polytopes by Goodman and Pollack [2, 3], he derived that for every dimension d ≥ 5, most of these(d − 1)-spheres are not polytopal. However, for d = 4, this reasoning fails. We can now show that, as already conjectured by Kalai, all of his 3-spheres are in fact polytopal. We also give a shorter proof for Hebble and Lee’s result [4] that the dual graphs of these 4-polytopes are Hamiltonian. |
dc.format.extent | 13 p. |
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::Matemàtica discreta::Combinatòria |
dc.subject.lcsh | Polytopes |
dc.subject.lcsh | Hamiltonian graph theory |
dc.subject.lcsh | Combinatory logic |
dc.subject.lcsh | Convex geometry |
dc.title | Kalai's squeezed 3-spheres are polytopal |
dc.type | Article |
dc.subject.lemac | Politops |
dc.subject.lemac | Lògica combinatòria |
dc.subject.lemac | Geometria convexa |
dc.subject.lemac | Hamilton, Sistemes de |
dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
dc.rights.access | Open Access |
local.identifier.drac | 2510364 |
dc.description.version | Postprint (published version) |
local.citation.author | Pfeifle, J. |
local.citation.publicationName | Discrete and computational geometry |
local.citation.volume | 27 |
local.citation.startingPage | 395 |
local.citation.endingPage | 407 |
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