NEW RESULTS FOR T (k)-FAMILIES IN THE PLANE

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dc.contributor.authorHolmsen, Andreas Fko
dc.date.accessioned2013-03-09T22:11:55Z-
dc.date.available2013-03-09T22:11:55Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-
dc.identifier.citationMATHEMATIKA, v.56, no.1, pp.86 - 92-
dc.identifier.issn0025-5793-
dc.identifier.urihttp://hdl.handle.net/10203/97610-
dc.description.abstractA line that intersects every member of a finite family F of convex sets in the plane is called a common transversal to F. In this paper we study some basic properties of T (k)-families: finite families of convex sets in the plane in which every subfamily of size at most k admits a common transversal. It is known that a T (k)-family admits a partial transversal of size alpha vertical bar F vertical bar for some constant alpha(k) which is independent of F. Here it will be shown that (2/(k(k - 1)))(1/(k-2)) <= alpha(k) <= ((k - 2)/k - 1)), which are the best bounds to date.-
dc.languageEnglish-
dc.publisherLONDON MATH SOC-
dc.titleNEW RESULTS FOR T (k)-FAMILIES IN THE PLANE-
dc.typeArticle-
dc.identifier.wosid000208424000007-
dc.identifier.scopusid2-s2.0-80053101929-
dc.type.rimsART-
dc.citation.volume56-
dc.citation.issue1-
dc.citation.beginningpage86-
dc.citation.endingpage92-
dc.citation.publicationnameMATHEMATIKA-
dc.identifier.doi10.1112/S0025579309000588-
dc.contributor.localauthorHolmsen, Andreas F-
dc.type.journalArticleArticle-
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