Stick numbers of Montesinos knots
DC Field | Value | Language |
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dc.contributor.author | Lee, Hwa Jeong | - |
dc.contributor.author | No, Sungjong | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2021-11-23T10:40:52Z | - |
dc.date.available | 2021-11-23T10:40:52Z | - |
dc.date.created | 2021-08-30 | - |
dc.date.issued | 2021-03 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/128466 | - |
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): s(K) <= 2c(K). Huh and Oh found an improved upper bound: s(K) <= 3/2(c(K) + 1). Huh, No and Oh proved that s(K) <= c(K) + 2 for a 2-bridge knot or link K with at least six crossings. As a sequel to this study, we present an upper bound on the stick number of Montesinos knots and links. Let K be a knot or link which admits a reduced Montesinos diagram with c(K) crossings. If each rational tangle in the diagram has five or more index of the related Conway notation, then s(K) <= c(K) + 3. Furthermore, if K is alternating, then we can additionally reduce the upper bound by 2. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | 2-BRIDGE KNOTS | - |
dc.subject | LINKS | - |
dc.title | Stick numbers of Montesinos knots | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1142/S0218216521500139 | - |
dc.identifier.scopusid | 2-s2.0-85103070514 | - |
dc.identifier.wosid | 000651139200002 | - |
dc.identifier.bibliographicCitation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.30, no.03 | - |
dc.relation.isPartOf | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.title | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.volume | 30 | - |
dc.citation.number | 03 | - |
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 | 2-BRIDGE KNOTS | - |
dc.subject.keywordPlus | LINKS | - |
dc.subject.keywordAuthor | Knot | - |
dc.subject.keywordAuthor | stick number | - |
dc.subject.keywordAuthor | rational tangle | - |
dc.subject.keywordAuthor | Montesinos knot | - |
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