Full metadata record
DC Field | Value | Language |
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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.available | 2017-08-10T08:15:13Z | - |
dc.date.created | 2017-08-09 | - |
dc.date.issued | 2017-04 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11750/4206 | - |
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 × 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. © 2017 World Scientific Publishing Company. | - |
dc.publisher | World Scientific Publishing Co. Pte Ltd | - |
dc.title | Period and toroidal knot mosaics | - |
dc.type | Article | - |
dc.identifier.doi | 10.1142/S0218216517500316 | - |
dc.identifier.scopusid | 2-s2.0-85015918907 | - |
dc.identifier.bibliographicCitation | Journal of Knot Theory and its Ramifications, v.26, no.5 | - |
dc.subject.keywordAuthor | Quantum knot | - |
dc.subject.keywordAuthor | knot mosaic | - |
dc.subject.keywordAuthor | toroidal mosaic | - |
dc.subject.keywordPlus | Knot Mosaic | - |
dc.subject.keywordPlus | Polynomials | - |
dc.subject.keywordPlus | Quantum Knot | - |
dc.subject.keywordPlus | Quantum Knots | - |
dc.subject.keywordPlus | Toroidal Mosaic | - |
dc.citation.number | 5 | - |
dc.citation.title | Journal of Knot Theory and its Ramifications | - |
dc.citation.volume | 26 | - |
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