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AN UPPER BOUND ON STICK NUMBER OF KNOTS
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Huh, Youngsik | - |
| dc.contributor.author | Oh, Seungsang | - |
| dc.date.accessioned | 2021-09-07T13:04:45Z | - |
| dc.date.available | 2021-09-07T13:04:45Z | - |
| dc.date.created | 2021-06-14 | - |
| dc.date.issued | 2011-05 | - |
| dc.identifier.issn | 0218-2165 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/112615 | - |
| dc.description.abstract | In 1991, Negami found an upper bound on the stick number s(K) of a nontrivial knot K in terms of crossing number c(K) which is s(K) <= 2c(K). In this paper we give a new upper bound in terms of arc index, and improve Negami's upper bound to s(K) <= 3/2 (c(K)+1). Moreover if K is a nonalternating prime knot, then s(K) <= 3/2 c(K). | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
| dc.subject | CUBIC LATTICE | - |
| dc.subject | OPEN-BOOK | - |
| dc.subject | LINKS | - |
| dc.title | AN UPPER BOUND ON STICK NUMBER OF KNOTS | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
| dc.identifier.doi | 10.1142/S0218216511008966 | - |
| dc.identifier.scopusid | 2-s2.0-79958791380 | - |
| dc.identifier.wosid | 000291555400006 | - |
| dc.identifier.bibliographicCitation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.20, no.5, pp.741 - 747 | - |
| dc.relation.isPartOf | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
| dc.citation.title | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
| dc.citation.volume | 20 | - |
| dc.citation.number | 5 | - |
| dc.citation.startPage | 741 | - |
| dc.citation.endPage | 747 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | CUBIC LATTICE | - |
| dc.subject.keywordPlus | OPEN-BOOK | - |
| dc.subject.keywordPlus | LINKS | - |
| dc.subject.keywordAuthor | Knot | - |
| dc.subject.keywordAuthor | stick number | - |
| dc.subject.keywordAuthor | upper bound | - |
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