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On some partitioning problems for two-colored point sets
dc.contributor.author | Grima, Clara |
dc.contributor.author | Hernando Martín, María del Carmen |
dc.contributor.author | Huemer, Clemens |
dc.contributor.author | Hurtado Díaz, Fernando Alfredo |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-06-21T10:55:55Z |
dc.date.available | 2010-06-21T10:55:55Z |
dc.date.created | 2009 |
dc.date.issued | 2009 |
dc.identifier.citation | Grima, C. [et al.]. On some partitioning problems for two-colored point sets. A: Encuentros de Geometría Computacional. "XIII Encuentros de Geometría Computacional". Zaragoza: 2009, p. 221-228. |
dc.identifier.uri | http://hdl.handle.net/2117/7751 |
dc.description.abstract | Let S be a two-colored set of n points in general position in the plane. We show that S admits at least 2 n 17 pairwise disjoint monochromatic triangles with vertices in S and empty of points of S. We further show that S can be partitioned into 3 n 11 subsets with pairwise disjoint convex hull such that within each subset all but at most one point have the same color. A lower bound on the number of subsets needed in any such partition is also given. |
dc.format.extent | 8 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 |
dc.title | On some partitioning problems for two-colored point sets |
dc.type | Conference report |
dc.subject.lemac | Geometria computacional -- Congressos |
dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
dc.relation.publisherversion | http://metodosestadisticos.unizar.es/~egc09/ |
dc.rights.access | Open Access |
local.identifier.drac | 2358717 |
dc.description.version | Postprint (published version) |
local.citation.author | Grima, C.; Hernando, M.; Huemer, C.; Hurtado, F. |
local.citation.contributor | Encuentros de Geometría Computacional |
local.citation.pubplace | Zaragoza |
local.citation.publicationName | XIII Encuentros de Geometría Computacional |
local.citation.startingPage | 221 |
local.citation.endingPage | 228 |