Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/77392
Type: Artigo
Title: Triangle-free triangulations
Author: Adin, Ron M.
Firer, Marcelo
Roichman, Yuval
Abstract: The flip operation on colored inner-triangle-free triangulations of a convex polygon is studied. It is shown that the affine Weyl group (C) over tilde (n) acts transitively on these triangulations by colored flips, and that the resulting colored flip graph is closely related to a lower interval in the weak order on (C) over tilde (n). Lattice properties of this order are then applied to compute the diameter. (C) 2009 Elsevier Inc. All rights reserved.
The flip operation on colored inner-triangle-free triangulations of a convex polygon is studied. It is shown that the affine Weyl group (C) over tilde (n) acts transitively on these triangulations by colored flips, and that the resulting colored flip grap
Subject: Triangularização (Matemática)
Grupos de Coxeter
Diagramas de Hasse
Country: Estados Unidos
Editor: Academic Press
Citation: Advances In Applied Mathematics. Academic Press Inc Elsevier Science, v. 45, n. 1, n. 77, n. 95, 2010.
Rights: Fechado
Identifier DOI: 10.1016/j.aam.2009.11.001
Address: https://www.sciencedirect.com/science/article/pii/S0196885809001201
Date Issue: 2010
Appears in Collections:IMECC - Artigos e Outros Documentos

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