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Sequences of spanning trees for L-infinity Delaunay triangulations

dc.contributor.authorBose, Prosenjit
dc.contributor.authorCano Vila, María del Pilar
dc.contributor.authorSilveira, Rodrigo Ignacio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-01-25T09:22:29Z
dc.date.available2019-01-25T09:22:29Z
dc.date.issued2018
dc.identifier.citationBose, P.; Cano, M.; Silveira, R.I. Sequences of spanning trees for L-infinity Delaunay triangulations. A: European Workshop on Computational Geometry. "EuroCG 2018: 34th European Workshop on Computational Geometry: Berlin, March 21–23, 2018: extended abstracts". 2018, p. 49:1-49:6.
dc.identifier.urihttp://hdl.handle.net/2117/127570
dc.description.abstractWe extend a known result about L2-Delaunay triangulations to L∞-Delaunay. Let TS be the set of all non-crossing spanning trees of a planar n-point set S. We prove that for each element T of TS, there exists a length-decreasing sequence of trees T0, . . . , Tk in the L∞-metric such that T0 = T, Tk = MST(S) and Ti does not cross Ti−1 for all i = 1, . . . , k, where MST(S) denotes the minimum spanning tree of S in the L∞ metric. We also give an Ω(log n) lower bound for the length of the sequence
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
dc.subject.lcshComputational geometry
dc.subject.lcshGeometry -- Data processing
dc.subject.lcshTrigonometry
dc.titleSequences of spanning trees for L-infinity Delaunay triangulations
dc.typeConference report
dc.subject.lemacGeometria computacional
dc.subject.lemacGeometria -- Informàtica
dc.subject.lemacTrigonometria
dc.subject.lemacTriangulació
dc.contributor.groupUniversitat Politècnica de Catalunya. CGA - Computational Geometry and Applications
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.identifier.drac23602066
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//MTM2015-63791-R/ES/GRAFOS Y GEOMETRIA: INTERACCIONES Y APLICACIONES/
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/734922/EU/Combinatorics of Networks and Computation/CONNECT
local.citation.authorBose, P.; Cano, M.; Silveira, R.I.
local.citation.contributorEuropean Workshop on Computational Geometry
local.citation.publicationNameEuroCG 2018: 34th European Workshop on Computational Geometry: Berlin, March 21–23, 2018: extended abstracts
local.citation.startingPage49:1
local.citation.endingPage49:6


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Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain