Topological aspects of theta-curves in cubic lattice*
DC Field | Value | Language |
---|---|---|
dc.contributor.author | No, Sungjong | - |
dc.contributor.author | Oh, Seungsang | - |
dc.contributor.author | Yoo, Hyungkee | - |
dc.date.accessioned | 2022-02-14T12:40:19Z | - |
dc.date.available | 2022-02-14T12:40:19Z | - |
dc.date.created | 2022-02-08 | - |
dc.date.issued | 2021-11-12 | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/135740 | - |
dc.description.abstract | Knots and embedded graphs are useful models for simulating polymer chains. In particular, a theta curve motif is present in a circular protein with internal bridges. A theta-curve is a graph embedded in three-dimensional space which consists of three edges with shared endpoints at two vertices. If we cannot continuously transform a theta-curve into a plane without intersecting its strand during the deformation, then it is said to be nontrivial. A Brunnian theta-curve is a nontrivial theta-curve that becomes a trivial knot if any one edge is removed. In this paper we obtain qualitative results of these theta-curves, using the lattice stick number which is the minimal number of sticks glued end-to-end that are necessary to construct the theta-curve type in the cubic lattice. We present lower bounds of the lattice stick number for nontrivial theta-curves by 14, and Brunnian theta-curves by 15. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | IOP Publishing Ltd | - |
dc.subject | KNOTS | - |
dc.subject | MODEL | - |
dc.subject | DNA | - |
dc.title | Topological aspects of theta-curves in cubic lattice* | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1088/1751-8121/ac2ae9 | - |
dc.identifier.scopusid | 2-s2.0-85118878202 | - |
dc.identifier.wosid | 000710689800001 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.54, no.45 | - |
dc.relation.isPartOf | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.citation.title | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.citation.volume | 54 | - |
dc.citation.number | 45 | - |
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 | DNA | - |
dc.subject.keywordPlus | KNOTS | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordAuthor | Brunnian | - |
dc.subject.keywordAuthor | lattice stick number | - |
dc.subject.keywordAuthor | theta curve | - |
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