Upper bound on lattice stick number of knots
DC Field | Value | Language |
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dc.contributor.author | Hong, Kyungpyo | - |
dc.contributor.author | No, Sungjong | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2021-09-06T00:03:58Z | - |
dc.date.available | 2021-09-06T00:03:58Z | - |
dc.date.created | 2021-06-14 | - |
dc.date.issued | 2013-07 | - |
dc.identifier.issn | 0305-0041 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/102779 | - |
dc.description.abstract | The lattice stick number s(L)(K) of a knot K is defined to be the minimal number of straight line segments required to construct a stick presentation of K in the cubic lattice. In this paper, we find an upper bound on the lattice stick number of a nontrivial knot K, except the trefoil knot, in terms of the minimal crossing number c(K) which is s(L)(K) <= 3c(K) + 2. Moreover if K is a non-alternating prime knot, then s(L)(K) <= 3c(K) - 4. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.subject | ARC INDEX | - |
dc.subject | LINKS | - |
dc.title | Upper bound on lattice stick number of knots | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1017/S0305004113000212 | - |
dc.identifier.scopusid | 2-s2.0-84878807991 | - |
dc.identifier.wosid | 000319974100011 | - |
dc.identifier.bibliographicCitation | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.155, no.1, pp.173 - 179 | - |
dc.relation.isPartOf | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | - |
dc.citation.title | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | - |
dc.citation.volume | 155 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 173 | - |
dc.citation.endPage | 179 | - |
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 | ARC INDEX | - |
dc.subject.keywordPlus | LINKS | - |
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