Period and toroidal knot mosaics
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Oh, Seungsang | - |
dc.contributor.author | Hong, Kyungpyo | - |
dc.contributor.author | Lee, Ho | - |
dc.contributor.author | Lee, Hwa Jeong | - |
dc.contributor.author | Yeon, Mi Jeong | - |
dc.date.accessioned | 2021-09-03T08:03:45Z | - |
dc.date.available | 2021-09-03T08:03:45Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-04 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/84046 | - |
dc.description.abstract | Knot mosaic theory was introduced by Lomonaco and Kauffman in the paper on 'Quantum knots and mosaics' to give a precise and workable definition of quantum knots, intended to represent an actual physical quantum system. A knot (m, n)-mosaic is an m x n matrix whose entries are eleven mosaic tiles, representing a knot or a link by adjoining properly. In this paper, we introduce two variants of knot mosaics: period knot mosaics and toroidal knot mosaics, which are common features in physics and mathematics. We present an algorithm producing the exact enumeration of period knot (m, n)-mosaics for any positive integers m and n, toroidal knot (m, n)-mosaics for co-prime integers m and n, and furthermore toroidal knot (p, p)-mosaics for a prime number p. We also analyze the asymptotics of the growth rates of their cardinality. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | QUANTUM KNOTS | - |
dc.subject | POLYNOMIALS | - |
dc.title | Period and toroidal knot mosaics | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1142/S0218216517500316 | - |
dc.identifier.scopusid | 2-s2.0-85015918907 | - |
dc.identifier.wosid | 000400269700008 | - |
dc.identifier.bibliographicCitation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.26, no.5 | - |
dc.relation.isPartOf | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.title | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.volume | 26 | - |
dc.citation.number | 5 | - |
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 | POLYNOMIALS | - |
dc.subject.keywordAuthor | Quantum knot | - |
dc.subject.keywordAuthor | knot mosaic | - |
dc.subject.keywordAuthor | toroidal mosaic | - |
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