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DC poleHodnotaJazyk
dc.contributor.authorAharoni, Ron
dc.contributor.authorKaiser, Tomáš
dc.contributor.authorZerbib, Shira
dc.date.accessioned2018-02-21T11:35:26Z-
dc.date.available2018-02-21T11:35:26Z-
dc.date.issued2017
dc.identifier.citationAHARONI, R., KAISER, T., ZERBIB, S. Fractional covers and matchings in families of weighted d-intervals. Combinatorica>, 2017, roč. 37, č. 4, s. 555-572. ISSN 0209-9683.en
dc.identifier.issn0209-9683
dc.identifier.urihttp://hdl.handle.net/11025/29281
dc.format18 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherSpringer Verlagen
dc.relation.ispartofseriesCombinatoricaen
dc.rights© Springer Verlagen
dc.subjectd-intervalcs
dc.subjectodpovídající číslocs
dc.subjectpříčné číslocs
dc.titleFractional covers and matchings in families of weighted d-intervalsen
dc.typepreprintcs
dc.typepreprinten
dc.rights.accessopenAccessen
dc.type.versiondraften
dc.description.abstract-translatedA d-interval is a union of at most d disjoint closed intervals on a fixed line. Tardos [Combinatorica 15 (1995), 123-134] and the second author [Disc. Comput. Geom. 18 (1997), 195-203] used topological tools to bound the transversal number τ of a family H of d-intervals in terms of d and the matching number ν of H. We investigate the weighted and fractional versions of this problem and prove upper bounds that are tight up to constant factors. We apply both the topological method and an approach of Alon [Disc. Comput. Geom. 19 (1998), 333-334]. For the use of the latter, we prove a weighted version of Turan's theorem. We also provide a proof of the second author's upper bound that is more direct than the original proof.en
dc.subject.translatedd-intervalen
dc.subject.translatedmatching numberen
dc.subject.translatedtransversal numberen
dc.identifier.doi10.1007/s00493-016-3174-7
dc.identifier.obd43919838
dc.project.IDGA14-19503S/Barevnost a struktura grafůcs
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Preprinty / Preprints (KMA)
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