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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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