DC Field | Value | Language |
---|---|---|
dc.contributor.author | Holmsen, Andreas F | ko |
dc.date.accessioned | 2013-03-07T15:54:46Z | - |
dc.date.available | 2013-03-07T15:54:46Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2007-03 | - |
dc.identifier.citation | DISCRETE COMPUTATIONAL GEOMETRY, v.37, no.3, pp.341 - 349 | - |
dc.identifier.issn | 0179-5376 | - |
dc.identifier.uri | http://hdl.handle.net/10203/90604 | - |
dc.description.abstract | Let F be a family of disjoint translates of a compact convex set in the plane. In 1980 Katchalski and Lewis showed that there exists a constant k, independent of F, such that if each three members of F are met by a line, then a "large" subfamily G subset of F, with |F\G| <= k, is met by a line. In this paper we obtain a higher-dimensional analogue containing the Katchalski-Lewis result. Also we give two constructions of families of pairwise disjoint translates of the unit ball in R-3 which answer some related questions. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | HYPERPLANE TRANSVERSALS | - |
dc.subject | LINE TRANSVERSALS | - |
dc.subject | UNIT BALLS | - |
dc.title | The Katchalski-Lewis transversal problem in R-n | - |
dc.type | Article | - |
dc.identifier.wosid | 000244888300002 | - |
dc.identifier.scopusid | 2-s2.0-33947227782 | - |
dc.type.rims | ART | - |
dc.citation.volume | 37 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 341 | - |
dc.citation.endingpage | 349 | - |
dc.citation.publicationname | DISCRETE COMPUTATIONAL GEOMETRY | - |
dc.identifier.doi | 10.1007/s00454-006-1291-6 | - |
dc.contributor.localauthor | Holmsen, Andreas F | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | HYPERPLANE TRANSVERSALS | - |
dc.subject.keywordPlus | LINE TRANSVERSALS | - |
dc.subject.keywordPlus | UNIT BALLS | - |
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