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dc.contributor.authorAichholzer, Oswin
dc.contributor.authorGarcía Olaverri, Alfredo
dc.contributor.authorHurtado Díaz, Fernando Alfredo
dc.contributor.authorTejel Altarriba, F. Javier
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.date.accessioned2012-02-10T19:44:15Z
dc.date.available2012-02-10T19:44:15Z
dc.date.created2011
dc.date.issued2011
dc.identifier.citationAichholzer, 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.isbn2014-2323
dc.identifier.urihttp://hdl.handle.net/2117/15075
dc.description.abstractTwo 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.extent4 p.
dc.language.isoeng
dc.publisherCentre de Recerca Matemàtica
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.lcshGraph theory
dc.titleCompatible matchings in geometric graphs
dc.typeConference report
dc.subject.lemacGrafs, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta
dc.subject.amsClassificació AMS::05 Combinatorics::05C Graph theory
dc.relation.publisherversionhttp://www.crm.es/Publications/Documents/Documents_8.pdf
dc.rights.accessOpen Access
local.identifier.drac9587838
dc.description.versionPostprint (published version)
local.citation.authorAichholzer, O.; García, A.; Hurtado, F.; Tejel, F. J.
local.citation.contributorEncuentros de Geometría Computacional
local.citation.pubplaceAlcalá de Henares
local.citation.publicationNameActas de los XIV Encuentros de Geometría Computacional
local.citation.startingPage145
local.citation.endingPage148


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