Maximum covering with D cliques
Identifieur interne : 001085 ( Istex/Corpus ); précédent : 001084; suivant : 001086Maximum covering with D cliques
Auteurs : Klaus Jansen ; Petra Scheffler ; Gerhard J. WoegingerSource :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 1993.
Abstract
Abstract: Given a graph G = (V, E), we consider the problem to find a set of D pairwise disjoint cliques in it with maximum overall number of vertices. We determine the computational complexity of this problem restricted to a variety of different graph classes. We give polynomial time algorithms for the problem restricted to interval graphs, bipartite graphs, cographs, directed path graphs and partial k-trees. In contrast, we show the NP-completeness for undirected path graphs.
Url:
DOI: 10.1007/3-540-57163-9_27
Links to Exploration step
ISTEX:715DA59B18382A8CD5A6A2424E5D28B8733FAD9FLe document en format XML
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cliques</ChapterTitle><ChapterCategory>Communications</ChapterCategory><ChapterFirstPage>319</ChapterFirstPage><ChapterLastPage>328</ChapterLastPage><ChapterCopyright><CopyrightHolderName>Springer-Verlag</CopyrightHolderName><CopyrightYear>1993</CopyrightYear></ChapterCopyright><ChapterHistory><OnlineDate><Year>2005</Year><Month>5</Month><Day>30</Day></OnlineDate></ChapterHistory><ChapterGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ChapterGrants><ChapterContext><SeriesID>558</SeriesID><BookID>3540571639</BookID><BookTitle>Fundamentals of Computation Theory</BookTitle></ChapterContext></ChapterInfo><ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff1"><AuthorName DisplayOrder="Western"><GivenName>Klaus</GivenName><FamilyName>Jansen</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff2"><AuthorName DisplayOrder="Western"><GivenName>Petra</GivenName><FamilyName>Scheffler</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff3"><AuthorName DisplayOrder="Western"><GivenName>Gerhard</GivenName><GivenName>J.</GivenName><FamilyName>Woeginger</FamilyName></AuthorName></Author><Affiliation ID="Aff1"><OrgDivision>Fachbereich Mathematik und Informatik</OrgDivision><OrgName>Universität Trier</OrgName><OrgAddress><Postbox>Postfach 3825</Postbox><Postcode>D-W-5500</Postcode><City>Trier</City><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff2"><OrgName>FB Mathematik, MA 6-1, TU Berlin</OrgName><OrgAddress><Street>Straße des 17. Juni 136</Street><Postcode>D-W-1000</Postcode><City>Berlin 12</City><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff3"><OrgName>Institut für Informationsverarbeitung, TU Graz</OrgName><OrgAddress><Street>Klosterwiesgasse 32</Street><Postcode>A-8010</Postcode><City>Graz</City><Country>Austria</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>Given a graph <Emphasis Type="Italic">G = (V, E)</Emphasis>, we consider the problem to find a set of <Emphasis Type="Italic">D</Emphasis> pairwise disjoint cliques in it with maximum overall number of vertices. We determine the computational complexity of this problem restricted to a variety of different graph classes. We give polynomial time algorithms for the problem restricted to interval graphs, bipartite graphs, cographs, directed path graphs and partial <Emphasis Type="Italic">k</Emphasis>-trees. In contrast, we show the NP-completeness for undirected path graphs.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Maximum covering with D cliques</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Maximum covering with D cliques</title></titleInfo><name type="personal"><namePart type="given">Klaus</namePart><namePart type="family">Jansen</namePart><affiliation>Fachbereich Mathematik und Informatik, Universität Trier, Postfach 3825, D-W-5500, Trier, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Petra</namePart><namePart type="family">Scheffler</namePart><affiliation>FB Mathematik, MA 6-1, TU Berlin, Straße des 17. Juni 136, D-W-1000, Berlin 12, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Gerhard</namePart><namePart type="given">J.</namePart><namePart type="family">Woeginger</namePart><affiliation>Institut für Informationsverarbeitung, TU Graz, Klosterwiesgasse 32, A-8010, Graz, Austria</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="conference" displayLabel="ReviewPaper"></genre><originInfo><publisher>Springer Berlin Heidelberg</publisher><place><placeTerm type="text">Berlin, Heidelberg</placeTerm></place><dateIssued encoding="w3cdtf">2005-05-30</dateIssued><copyrightDate encoding="w3cdtf">1993</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">Abstract: Given a graph G = (V, E), we consider the problem to find a set of D pairwise disjoint cliques in it with maximum overall number of vertices. We determine the computational complexity of this problem restricted to a variety of different graph classes. We give polynomial time algorithms for the problem restricted to interval graphs, bipartite graphs, cographs, directed path graphs and partial k-trees. In contrast, we show the NP-completeness for undirected path graphs.</abstract><relatedItem type="host"><titleInfo><title>Fundamentals of Computation Theory</title><subTitle>9th International Conference, FCT '93 Szeged, Hungary, August 23–27, 1993 Proceedings</subTitle></titleInfo><name type="personal"><namePart type="given">Zoltán</namePart><namePart type="family">Ésik</namePart><role><roleTerm type="text">editor</roleTerm></role></name><genre type="book-series" displayLabel="Proceedings"></genre><originInfo><copyrightDate encoding="w3cdtf">1993</copyrightDate><issuance>monographic</issuance></originInfo><subject><genre>Book-Subject-Collection</genre><topic authority="SpringerSubjectCodes" authorityURI="SUCO11645">Computer Science</topic></subject><subject><genre>Book-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="I">Computer Science</topic><topic authority="SpringerSubjectCodes" authorityURI="I16013">Computation by Abstract Devices</topic><topic authority="SpringerSubjectCodes" authorityURI="I16021">Algorithm Analysis and Problem Complexity</topic><topic authority="SpringerSubjectCodes" authorityURI="I1603X">Logics and Meanings of Programs</topic><topic authority="SpringerSubjectCodes" authorityURI="I16048">Mathematical Logic and Formal Languages</topic><topic authority="SpringerSubjectCodes" authorityURI="M17009">Combinatorics</topic><topic authority="SpringerSubjectCodes" authorityURI="I22013">Computer Graphics</topic></subject><identifier type="DOI">10.1007/3-540-57163-9</identifier><identifier type="ISBN">978-3-540-57163-6</identifier><identifier type="eISBN">978-3-540-47923-9</identifier><identifier type="ISSN">0302-9743</identifier><identifier type="eISSN">1611-3349</identifier><identifier type="BookTitleID">33793</identifier><identifier type="BookID">3540571639</identifier><identifier type="BookChapterCount">40</identifier><identifier type="BookVolumeNumber">710</identifier><part><date>1993</date><detail type="volume"><number>710</number><caption>vol.</caption></detail><extent unit="pages"><start>319</start><end>328</end></extent></part><recordInfo><recordOrigin>Springer-Verlag, 1993</recordOrigin></recordInfo></relatedItem><relatedItem type="series"><titleInfo><title>Lecture Notes in Computer Science</title></titleInfo><name type="personal"><namePart type="given">G.</namePart><namePart type="family">Goos</namePart><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">J.</namePart><namePart type="family">Hartmanis</namePart><role><roleTerm type="text">editor</roleTerm></role></name><originInfo><copyrightDate encoding="w3cdtf">1993</copyrightDate><issuance>serial</issuance></originInfo><identifier type="ISSN">0302-9743</identifier><identifier type="eISSN">1611-3349</identifier><identifier type="SeriesID">558</identifier><recordInfo><recordOrigin>Springer-Verlag, 1993</recordOrigin></recordInfo></relatedItem><identifier type="istex">715DA59B18382A8CD5A6A2424E5D28B8733FAD9F</identifier><identifier type="DOI">10.1007/3-540-57163-9_27</identifier><identifier type="ChapterID">27</identifier><identifier type="ChapterID">Chap27</identifier><accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag, 1993</accessCondition><recordInfo><recordContentSource>SPRINGER</recordContentSource><recordOrigin>Springer-Verlag, 1993</recordOrigin></recordInfo></mods></metadata></istex></record>Pour manipuler ce document sous Unix (Dilib)
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