STICK NUMBERS OF 2-BRIDGE KNOTS AND LINKS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Huh, Youngsik | - |
dc.contributor.author | No, Sungjong | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2021-09-07T06:28:09Z | - |
dc.date.available | 2021-09-07T06:28:09Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2011-11 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/111189 | - |
dc.description.abstract | Negami found an upper bound on the stick number s(K) of a nontrivial knot K in terms of the minimal crossing number c(K) of the knot, which is s(K) <= 2c(K). Furthermore, McCabe proved that s(K) <= c(K) + 3 for a 2-bridge knot or link, except in the cases of the unlink and the Hopf link. In this paper we construct any 2-bridge knot or link K of at least six crossings by using only c(K) + 2 straight sticks. This gives a new upper bound on stick numbers of 2-bridge knots and links in terms of crossing numbers. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | STICK NUMBERS OF 2-BRIDGE KNOTS AND LINKS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1090/S0002-9939-2011-10832-3 | - |
dc.identifier.scopusid | 2-s2.0-79960820726 | - |
dc.identifier.wosid | 000295893700037 | - |
dc.identifier.bibliographicCitation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.139, no.11, pp.4143 - 4152 | - |
dc.relation.isPartOf | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.title | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 139 | - |
dc.citation.number | 11 | - |
dc.citation.startPage | 4143 | - |
dc.citation.endPage | 4152 | - |
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, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Knot | - |
dc.subject.keywordAuthor | stick number | - |
dc.subject.keywordAuthor | 2-bridge | - |
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