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Compatible matchings in geometric graphs
dc.contributor.author | Aichholzer, Oswin |
dc.contributor.author | García Olaverri, Alfredo |
dc.contributor.author | Hurtado Díaz, Fernando Alfredo |
dc.contributor.author | Tejel Altarriba, F. Javier |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2012-02-10T19:44:15Z |
dc.date.available | 2012-02-10T19:44:15Z |
dc.date.created | 2011 |
dc.date.issued | 2011 |
dc.identifier.citation | Aichholzer, O. [et al.]. Compatible matchings in geometric graphs. A: Encuentros de Geometría Computacional. "Actas de los XIV Encuentros de Geometría Computacional". Alcalá de Henares: Centre de Recerca Matemàtica, 2011, p. 145-148. |
dc.identifier.isbn | 2014-2323 |
dc.identifier.uri | http://hdl.handle.net/2117/15075 |
dc.description.abstract | Two non-crossing geometric graphs on the same set of points are compatible if their union is also non-crossing. In this paper, we prove that every graph G that has an outerplanar embedding admits a non-crossing perfect matching compatible with G. Moreover, for non-crossing geometric trees and simple polygons, we study bounds on the minimum number of edges that a compatible non-crossing perfect matching must share with the tree or the polygon. We also give bounds on the maximal size of a compatible matching (not necessarily perfect) that is disjoint from the tree or the polygon. |
dc.format.extent | 4 p. |
dc.language.iso | eng |
dc.publisher | Centre de Recerca Matemàtica |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject.lcsh | Graph theory |
dc.title | Compatible matchings in geometric graphs |
dc.type | Conference report |
dc.subject.lemac | Grafs, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.relation.publisherversion | http://www.crm.es/Publications/Documents/Documents_8.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 9587838 |
dc.description.version | Postprint (published version) |
local.citation.author | Aichholzer, O.; García, A.; Hurtado, F.; Tejel, F. J. |
local.citation.contributor | Encuentros de Geometría Computacional |
local.citation.pubplace | Alcalá de Henares |
local.citation.publicationName | Actas de los XIV Encuentros de Geometría Computacional |
local.citation.startingPage | 145 |
local.citation.endingPage | 148 |