DC Field | Value | Language |
---|---|---|
dc.contributor.author | Holmsen, Andreas F | ko |
dc.date.accessioned | 2013-03-09T22:11:55Z | - |
dc.date.available | 2013-03-09T22:11:55Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | MATHEMATIKA, v.56, no.1, pp.86 - 92 | - |
dc.identifier.issn | 0025-5793 | - |
dc.identifier.uri | http://hdl.handle.net/10203/97610 | - |
dc.description.abstract | A 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.language | English | - |
dc.publisher | LONDON MATH SOC | - |
dc.title | NEW RESULTS FOR T (k)-FAMILIES IN THE PLANE | - |
dc.type | Article | - |
dc.identifier.wosid | 000208424000007 | - |
dc.identifier.scopusid | 2-s2.0-80053101929 | - |
dc.type.rims | ART | - |
dc.citation.volume | 56 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 86 | - |
dc.citation.endingpage | 92 | - |
dc.citation.publicationname | MATHEMATIKA | - |
dc.identifier.doi | 10.1112/S0025579309000588 | - |
dc.contributor.localauthor | Holmsen, Andreas F | - |
dc.type.journalArticle | Article | - |
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