Mosaic number of knots
DC Field | Value | Language |
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dc.contributor.author | Lee, Hwa Jeong | - |
dc.contributor.author | Hong, Kyungpyo | - |
dc.contributor.author | Lee, Ho | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2021-09-05T03:30:09Z | - |
dc.date.available | 2021-09-05T03:30:09Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014-11 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/96936 | - |
dc.description.abstract | Lomonaco and Kauffman developed knot mosaics to give a definition of a quantum knot system. This definition is intended to represent an actual physical quantum system. A knot n-mosaic is an n x n matrix of 11 kinds of specific mosaic tiles representing a knot or a link. The mosaic number m(K) of a knot K is the smallest integer n for which K is representable as a knot n-mosaic. In this paper, we establish an upper bound on the mosaic number of a knot or a link K in terms of the crossing number c(K). Let K be a nontrivial knot or a non-split link except the Hopf link. Then m(K) <= c(K) + 1. Moreover if K is prime and non-alternating except 6(3)(3) link, then m(K) <= c(K) - 1. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | QUANTUM KNOTS | - |
dc.subject | ARC INDEX | - |
dc.subject | LINKS | - |
dc.title | Mosaic number of knots | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1142/S0218216514500692 | - |
dc.identifier.scopusid | 2-s2.0-84929578645 | - |
dc.identifier.wosid | 000347971600004 | - |
dc.identifier.bibliographicCitation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.23, no.13 | - |
dc.relation.isPartOf | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.title | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.volume | 23 | - |
dc.citation.number | 13 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | QUANTUM KNOTS | - |
dc.subject.keywordPlus | ARC INDEX | - |
dc.subject.keywordPlus | LINKS | - |
dc.subject.keywordAuthor | Quantum knot | - |
dc.subject.keywordAuthor | knot mosaic | - |
dc.subject.keywordAuthor | mosaic number | - |
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