PRIME KNOTS WHOSE ARC INDEX IS SMALLER THAN THE CROSSING NUMBER

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dc.contributor.authorJin, Gyo Taekko
dc.contributor.authorLee, Hwa Jeongko
dc.date.accessioned2013-03-13T02:39:55Z-
dc.date.available2013-03-13T02:39:55Z-
dc.date.created2012-08-23-
dc.date.created2012-08-23-
dc.date.issued2012-09-
dc.identifier.citationJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.21, no.10-
dc.identifier.issn0218-2165-
dc.identifier.urihttp://hdl.handle.net/10203/104272-
dc.description.abstractIt is known that the arc index of alternating knots is the minimal crossing number plus two and the arc index of prime nonalternating knots is less than or equal to the minimal crossing number. We study some cases when the arc index is strictly less than the minimal crossing number. We also give minimal grid diagrams of some prime nonalternating knots with 13 crossings and 14 crossings whose arc index is the minimal crossing number minus one.-
dc.languageEnglish-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.subjectEMBEDDING KNOTS-
dc.subjectOPEN-BOOK-
dc.subjectLINKS-
dc.titlePRIME KNOTS WHOSE ARC INDEX IS SMALLER THAN THE CROSSING NUMBER-
dc.typeArticle-
dc.identifier.wosid000306326100011-
dc.identifier.scopusid2-s2.0-84870265703-
dc.type.rimsART-
dc.citation.volume21-
dc.citation.issue10-
dc.citation.publicationnameJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS-
dc.identifier.doi10.1142/S0218216512501039-
dc.contributor.localauthorJin, Gyo Taek-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorKnot-
dc.subject.keywordAuthorlink-
dc.subject.keywordAuthorarc presentation-
dc.subject.keywordAuthorarc index-
dc.subject.keywordAuthorgrid diagram-
dc.subject.keywordAuthorminimal crossing number-
dc.subject.keywordAuthorKauffman polynomial-
dc.subject.keywordAuthorfiltered tree-
dc.subject.keywordPlusEMBEDDING KNOTS-
dc.subject.keywordPlusOPEN-BOOK-
dc.subject.keywordPlusLINKS-
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MA-Journal Papers(저널논문)
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