Small knot mosaics and partition matrices
DC Field | Value | Language |
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dc.contributor.author | Hong, Kyungpyo | - |
dc.contributor.author | Lee, Ho | - |
dc.contributor.author | Lee, Hwa Jeong | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2021-09-05T03:49:10Z | - |
dc.date.available | 2021-09-05T03:49:10Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014-10-31 | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/97042 | - |
dc.description.abstract | Lomonaco and Kauffman introduced knot mosaic system to give a definition of quantum knot system. This definition is intended to represent an actual physical quantum system. A knot (m, n)-mosaic is an m x n matrix of mosaic tiles which are T-0 through T-10 depicted, representing a knot or a link by adjoining properly that is called suitably connected. An interesting question in studying mosaic theory is how many knot (m, n)-mosaics are there. D-m,D- (n) denotes the total number of all knot (m, n)-mosaics. This counting is very important because the total number of knot mosaics is indeed the dimension of the Hilbert space of these quantum knot mosaics. In this paper, we find a table of the precise values of D-m,D- n for 4 <= m <= n <= 6. Mainly we use a partition matrix argument which turns out to be remarkably efficient to count small knot mosaics. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.subject | QUANTUM KNOTS | - |
dc.subject | POLYNOMIALS | - |
dc.title | Small knot mosaics and partition matrices | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1088/1751-8113/47/43/435201 | - |
dc.identifier.scopusid | 2-s2.0-84908360021 | - |
dc.identifier.wosid | 000344222400004 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.47, no.43 | - |
dc.relation.isPartOf | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.citation.title | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.citation.volume | 47 | - |
dc.citation.number | 43 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Multidisciplinary | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | QUANTUM KNOTS | - |
dc.subject.keywordPlus | POLYNOMIALS | - |
dc.subject.keywordAuthor | quantum physics | - |
dc.subject.keywordAuthor | quantum knot | - |
dc.subject.keywordAuthor | knot mosaic | - |
dc.subject.keywordAuthor | partition matrix | - |
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