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dc.contributor.author Lee, Hwa Jeong -
dc.contributor.author Takioka, Hideo -
dc.date.available 2017-06-29T08:08:21Z -
dc.date.created 2017-04-20 -
dc.date.issued 2017-04 -
dc.identifier.issn 0218-2165 -
dc.identifier.uri http://hdl.handle.net/20.500.11750/2069 -
dc.description.abstract In this paper, we calculate the Kauffman polynomials (Formula presented.) of Kanenobu knots (Formula presented.) with (Formula presented.) half twists and determine their spans on the variable (Formula presented.) completely. As an application, we determine the arc index of infinitely many Kanenobu knots. In particular, we give sharper lower bounds of the arc index of (Formula presented.) by using canonical cabling algorithm and the 2-cable (Formula presented.)-polynomials. Moreover, we give sharper upper bounds of the arc index of some Kanenobu knots by using their braid presentations. ? 2017 World Scientific Publishing Company -
dc.publisher World Scientific Publishing Co. Pte Ltd -
dc.title On the arc index of Kanenobu knots -
dc.type Article -
dc.identifier.doi 10.1142/S0218216517500158 -
dc.identifier.wosid 000399158600005 -
dc.identifier.scopusid 2-s2.0-85010894774 -
dc.identifier.bibliographicCitation Journal of Knot Theory and its Ramifications, v.26, no.4 -
dc.description.isOpenAccess FALSE -
dc.subject.keywordAuthor Arc index -
dc.subject.keywordAuthor braid index -
dc.subject.keywordAuthor Kanenobu knot -
dc.subject.keywordAuthor Kauffman polynomial -
dc.subject.keywordAuthor Gamma-polynomial -
dc.citation.number 4 -
dc.citation.title Journal of Knot Theory and its Ramifications -
dc.citation.volume 26 -
dc.description.journalRegisteredClass scie -
dc.description.journalRegisteredClass scopus -
dc.relation.journalResearchArea Mathematics -
dc.relation.journalWebOfScienceCategory Mathematics -
dc.type.docType Article -
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