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DC Field | Value | Language |
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dc.citation.number | 11 | - |
dc.citation.startPage | 2350070 | - |
dc.citation.title | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.volume | 32 | - |
dc.contributor.author | Kwon, Bo-Hyun | - |
dc.contributor.author | Kang, Sungmo | - |
dc.date.accessioned | 2024-02-15T15:35:10Z | - |
dc.date.available | 2024-02-15T15:35:10Z | - |
dc.date.created | 2024-02-15 | - |
dc.date.issued | 2023-10 | - |
dc.description.abstract | In [B. Kwon and S. Kang, Rectangle conditions and families of 3-bridge prime knots, Topol. Appl. 291 (2021) 107453], using the set EAT(k) of all essential alternating rational 3-tangles for positive integer k, the authors showed that all knot diagrams in the numerator closure set C-N(EAT(2l+1)) and the denominator closure set C-D(EAT(2l+2)) with l > 0 are 3-bridge prime knot diagrams. In this paper, for n > 4 we construct a set AAT(4)(n) of additions of alternating rational tangles in EAT(4). The set AAT(4)(n) generalizes EAT(k )and contains it as a subset for some k. We show that any closure set C(AAT(4)(n)) on AAT(4)(n) so that the resulting diagrams are reduced and alternating knot diagrams represent alternating 3-bridge prime knot diagrams. Since a tangle diagram in AAT(4)(n+1) is constructed inductively from a tangle diagram in AAT(4)(n) by adding only one crossing positively, the result of this paper supports the conjecture that 3-bridge property is preserved under one-crossing alternating addition positively to alternating 3-bridge knots in 3-bridge representations. | - |
dc.identifier.bibliographicCitation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.32, no.11, pp.2350070 | - |
dc.identifier.doi | 10.1142/S0218216523500700 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.scopusid | 2-s2.0-85179671271 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/81377 | - |
dc.identifier.wosid | 001143818400006 | - |
dc.language | 영어 | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | 3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | 3-Bridge alternating knots or links | - |
dc.subject.keywordAuthor | rational tangles | - |
dc.subject.keywordAuthor | bridge decomposition | - |
dc.subject.keywordAuthor | rectangle condition | - |
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