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AN UPPER BOUND ON STICK NUMBER OF KNOTS

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dc.contributor.authorHuh, Youngsik-
dc.contributor.authorOh, Seungsang-
dc.date.accessioned2022-07-16T20:46:04Z-
dc.date.available2022-07-16T20:46:04Z-
dc.date.created2021-05-12-
dc.date.issued2011-05-
dc.identifier.issn0218-2165-
dc.identifier.urihttps://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/168521-
dc.description.abstractIn 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.language영어-
dc.language.isoen-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.titleAN UPPER BOUND ON STICK NUMBER OF KNOTS-
dc.typeArticle-
dc.contributor.affiliatedAuthorHuh, Youngsik-
dc.identifier.doi10.1142/S0218216511008966-
dc.identifier.scopusid2-s2.0-79958791380-
dc.identifier.wosid000291555400006-
dc.identifier.bibliographicCitationJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.20, no.5, pp.741 - 747-
dc.relation.isPartOfJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS-
dc.citation.titleJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS-
dc.citation.volume20-
dc.citation.number5-
dc.citation.startPage741-
dc.citation.endPage747-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.isOpenAccessY-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusCUBIC LATTICE-
dc.subject.keywordPlusOPEN-BOOK-
dc.subject.keywordPlusLINKS-
dc.subject.keywordAuthorKnot-
dc.subject.keywordAuthorstick number-
dc.subject.keywordAuthorupper bound-
dc.identifier.urlhttps://www.worldscientific.com/doi/abs/10.1142/S0218216511008966-
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