Geometric stable roommates

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dc.contributor.authorArkin E.M.ko
dc.contributor.authorBae S.W.ko
dc.contributor.authorEfrat A.ko
dc.contributor.authorOkamoto K.ko
dc.contributor.authorMitchell J.S.B.ko
dc.contributor.authorPolishchuk V.ko
dc.date.accessioned2013-03-08T21:44:52Z-
dc.date.available2013-03-08T21:44:52Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2009-
dc.identifier.citationINFORMATION PROCESSING LETTERS, v.109, no.4, pp.219 - 224-
dc.identifier.issn0020-0190-
dc.identifier.urihttp://hdl.handle.net/10203/94391-
dc.description.abstractWe consider instances of the Stable Roommates problem that arise from geometric representation of participants' preferences: a participant is a point ill a metric space, and his preference list is given by the sorted list of distances to the other participants. We show that contrary to the general case, the problem admits a polynomial-time solution even in the case when ties are present in the preference lists. We define the notion of an alpha-stable matching: the participants are willing to switch partners only for a (multiplicative) improvement of at least alpha. We prove that, in general, finding alpha-stable matchings is not easier than finding matchings that are stable in the usual sense, We show that, unlike in the general case, in a three-dimensional geometric stable roommates problem, a 2-stable matching can be found in polynomial time. (C) 2008 Elsevier B.V. All rights reserved.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE BV-
dc.subjectMATCHING PROBLEMS-
dc.subjectCYCLIC PREFERENCES-
dc.subjectMARRIAGE-
dc.titleGeometric stable roommates-
dc.typeArticle-
dc.identifier.wosid000262892600002-
dc.identifier.scopusid2-s2.0-57749097529-
dc.type.rimsART-
dc.citation.volume109-
dc.citation.issue4-
dc.citation.beginningpage219-
dc.citation.endingpage224-
dc.citation.publicationnameINFORMATION PROCESSING LETTERS-
dc.identifier.doi10.1016/j.ipl.2008.10.003-
dc.contributor.localauthorBae S.W.-
dc.contributor.nonIdAuthorArkin E.M.-
dc.contributor.nonIdAuthorEfrat A.-
dc.contributor.nonIdAuthorOkamoto K.-
dc.contributor.nonIdAuthorMitchell J.S.B.-
dc.contributor.nonIdAuthorPolishchuk V.-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorAlgorithms-
dc.subject.keywordAuthorComputational geometry-
dc.subject.keywordAuthorGraph algorithms-
dc.subject.keywordAuthorStable roommates with ties-
dc.subject.keywordAuthorConsistent preferences-
dc.subject.keywordAuthoralpha-Stable matching-
dc.subject.keywordPlusMATCHING PROBLEMS-
dc.subject.keywordPlusCYCLIC PREFERENCES-
dc.subject.keywordPlusMARRIAGE-
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