DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cheong, Otfried | ko |
dc.contributor.author | Goaoc, X | ko |
dc.contributor.author | Na, HS | ko |
dc.date.accessioned | 2007-05-23T06:07:37Z | - |
dc.date.available | 2007-05-23T06:07:37Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2005-03 | - |
dc.identifier.citation | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.30, pp.253 - 270 | - |
dc.identifier.issn | 0925-7721 | - |
dc.identifier.uri | http://hdl.handle.net/10203/299 | - |
dc.description.abstract | We show that a set of n disjoint unit spheres in R(d) admits at most two distinct geometric permutations if n >=, 9, and at most three if 3 <=, n <= 8. This result improves a Helly-type theorem on line transversals for disjoint unit spheres in R 3 : if any subset of size at most 18 of a family of such spheres admits a line transversal, then there is a line transversal for the entire family. (c) 2004 Elsevier B.V. All rights reserved. | - |
dc.description.sponsorship | Hong Kong Research Grant Council's grants HKUST6162/00E, HKUST6082/01E and HKUST6206/02E. | en |
dc.language | English | - |
dc.language.iso | en | en |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | CONVEX-SETS | - |
dc.subject | LINE TRANSVERSALS | - |
dc.subject | FAMILIES | - |
dc.subject | NUMBER | - |
dc.subject | BOUNDS | - |
dc.subject | BALLS | - |
dc.title | Geometric permutations of disjoint unit spheres | - |
dc.type | Article | - |
dc.identifier.wosid | 000227692400004 | - |
dc.identifier.scopusid | 2-s2.0-84867939586 | - |
dc.type.rims | ART | - |
dc.citation.volume | 30 | - |
dc.citation.beginningpage | 253 | - |
dc.citation.endingpage | 270 | - |
dc.citation.publicationname | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
dc.identifier.doi | 10.1016/j.comgeo.2004.08.003 | - |
dc.contributor.localauthor | Cheong, Otfried | - |
dc.contributor.nonIdAuthor | Goaoc, X | - |
dc.contributor.nonIdAuthor | Na, HS | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | geometric permutation | - |
dc.subject.keywordAuthor | line transversal | - |
dc.subject.keywordAuthor | unit sphere | - |
dc.subject.keywordAuthor | unit ball | - |
dc.subject.keywordAuthor | Hadwiger-type theorem | - |
dc.subject.keywordAuthor | Helly-type theorem | - |
dc.subject.keywordPlus | CONVEX-SETS | - |
dc.subject.keywordPlus | LINE TRANSVERSALS | - |
dc.subject.keywordPlus | FAMILIES | - |
dc.subject.keywordPlus | NUMBER | - |
dc.subject.keywordPlus | BOUNDS | - |
dc.subject.keywordPlus | BALLS | - |
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