Bounds on Multiple Self-avoiding Polygons
DC Field | Value | Language |
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dc.contributor.author | Hong, Kyungpyo | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2021-09-02T06:33:41Z | - |
dc.date.available | 2021-09-02T06:33:41Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2018-09 | - |
dc.identifier.issn | 0008-4395 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/73167 | - |
dc.description.abstract | A self-avoiding polygon is a lattice polygon consisting of a closed self-avoiding walk on a square lattice. Surprisingly little is known rigorously about the enumeration of self-avoiding polygons, although there are numerous conjectures that are believed to be true and strongly supported by numerical simulations. As an analogous problem to this study, we consider multiple self-avoiding polygons in a confined region as a model for multiple ring polymers in physics. We find rigorous lower and upper bounds for the number p(mxn) of distinct multiple self-avoiding polygons in the m x n rectangular grid on the square lattice. For m = 2, p(2xn) = 2(n-1) - 1. And for integers m, n >= 3, 2(m+n-3) (17/10)((m -2) (n-2)) <= p(mxn) <= 2(m+n-3) (13/16)((m-2) (n-2)). | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | CANADIAN MATHEMATICAL SOC | - |
dc.subject | QUANTUM KNOTS | - |
dc.subject | MOSAICS | - |
dc.title | Bounds on Multiple Self-avoiding Polygons | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.4153/CMB-2017-072-x | - |
dc.identifier.scopusid | 2-s2.0-85050400175 | - |
dc.identifier.wosid | 000442702900008 | - |
dc.identifier.bibliographicCitation | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, v.61, no.3, pp.518 - 530 | - |
dc.relation.isPartOf | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | - |
dc.citation.title | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | - |
dc.citation.volume | 61 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 518 | - |
dc.citation.endPage | 530 | - |
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 | MOSAICS | - |
dc.subject.keywordAuthor | ring polymer | - |
dc.subject.keywordAuthor | self-avoiding polygon | - |
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