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Artículo
Geometric Realization of Möbius Triangulations
dc.creator | Chávez de Diego, María José | |
dc.creator | Fijavz, Gasper | |
dc.creator | Márquez Pérez, Alberto | |
dc.creator | Nakamoto, Atsuhiro | |
dc.creator | Suárez, Esperanza | |
dc.date.accessioned | 2016-02-12T10:49:54Z | |
dc.date.available | 2016-02-12T10:49:54Z | |
dc.date.issued | 2008 | |
dc.identifier.uri | http://hdl.handle.net/11441/34670 | |
dc.description.abstract | A Möbius triangulation is a triangulation on the Möbius band. A geometric realization of a map M on a surface $\Sigma$ is an embedding of $\Sigma$ into a Euclidean 3-space $\mathbb{R}^3$ such that each face of M is a flat polygon. In this paper, we shall prove that every 5-connected triangulation on the Möbius band has a geometric realization. In order to prove it, we prove that if G is a 5-connected triangulation on the projective plane, then for any face f of G, the Möbius triangulation $G-f$ obtained from G by removing the interior of f has a geometric realization. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | SIAM J. Discrete Math., 23(1), pp. 221–232 (2008) | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Geometric Realization of Möbius Triangulations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.doi | http://dx.doi.org/10.1137/070693382 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/34670 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Geometric realization.pdf | 187.0Kb | ![]() | Ver/ | |