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Geometric permutations of disjoint unit spheres
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Cheong, O | - |
| dc.contributor.author | Goaoc, X | - |
| dc.contributor.author | Na, HS | - |
| dc.date.available | 2018-05-10T17:40:51Z | - |
| dc.date.created | 2018-04-17 | - |
| dc.date.issued | 2005-03 | - |
| dc.identifier.issn | 0925-7721 | - |
| dc.identifier.uri | http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/19398 | - |
| 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.publisher | ELSEVIER SCIENCE BV | - |
| dc.relation.isPartOf | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
| 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.doi | 10.1016/j.comgeo.2004.08.003 | - |
| dc.type.rims | ART | - |
| dc.identifier.bibliographicCitation | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.30, no.3, pp.253 - 270 | - |
| dc.description.journalClass | 1 | - |
| dc.identifier.wosid | 000227692400004 | - |
| dc.identifier.scopusid | 2-s2.0-84867939586 | - |
| dc.citation.endPage | 270 | - |
| dc.citation.number | 3 | - |
| dc.citation.startPage | 253 | - |
| dc.citation.title | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
| dc.citation.volume | 30 | - |
| dc.contributor.affiliatedAuthor | Na, HS | - |
| dc.type.docType | Article | - |
| dc.description.oadoiVersion | published | - |
| 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 | - |
| dc.description.journalRegisteredClass | scopus | - |
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Related Researcher
- Na, Hyeon-Suk
- College of Information Technology (School of Computer Science and Engineering)