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Knots with small lattice stick numbers
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Huh, Youngsik | - |
| dc.contributor.author | Oh, Seungsang | - |
| dc.date.accessioned | 2022-12-20T16:34:10Z | - |
| dc.date.available | 2022-12-20T16:34:10Z | - |
| dc.date.created | 2022-08-27 | - |
| dc.date.issued | 2010-07 | - |
| dc.identifier.issn | 1751-8113 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/174506 | - |
| dc.description.abstract | The lattice stick number of a knot type is defined to be the minimal number of straight line segments required to construct a polygon presentation of the knot type in the cubic lattice. In this paper, we mathematically prove that the trefoil knot 3(1) and in figure 8 knot 4(1) are the only knot types of lattice stick number less than 15, which verifies the result from previous numerical estimations on this quantity. | - |
| dc.language | 영어 | - |
| dc.language.iso | en | - |
| dc.publisher | IOP PUBLISHING LTD | - |
| dc.title | Knots with small lattice stick numbers | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Huh, Youngsik | - |
| dc.identifier.doi | 10.1088/1751-8113/43/26/265002 | - |
| dc.identifier.scopusid | 2-s2.0-77953352939 | - |
| dc.identifier.wosid | 000278544000003 | - |
| dc.identifier.bibliographicCitation | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.43, no.26, pp.1 - 8 | - |
| dc.relation.isPartOf | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
| dc.citation.title | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
| dc.citation.volume | 43 | - |
| dc.citation.number | 26 | - |
| dc.citation.startPage | 1 | - |
| dc.citation.endPage | 8 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.isOpenAccess | N | - |
| 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 | CURVATURE | - |
| dc.subject.keywordPlus | WALKS | - |
| dc.identifier.url | https://iopscience.iop.org/article/10.1088/1751-8113/43/26/265002 | - |
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Related Researcher
- Huh, Young sik
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)