Lattice stick number of spatial graphs
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yoo, Hyungkee | - |
dc.contributor.author | Lee, Chaeryn | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2021-09-02T09:10:16Z | - |
dc.date.available | 2021-09-02T09:10:16Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2018-07 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/74430 | - |
dc.description.abstract | The lattice stick number of knots is defined to be the minimal number of straight sticks in the cubic lattice required to construct a lattice stick presentation of the knot. We similarly define the lattice stick number s(L)(G) of spatial graphs G with vertices of degree at most six (necessary for embedding into the cubic lattice), and present an upper bound in terms of the crossing number c(G) s(L)(G) <= 3c(G) + 6e - 4v - 2s + 3b + k, where G has e edges, v vertices, s cut-components, b bouquet cut-components, and k knot components. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | 2-BRIDGE KNOTS | - |
dc.title | Lattice stick number of spatial graphs | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
dc.identifier.doi | 10.1142/S0218216518500487 | - |
dc.identifier.scopusid | 2-s2.0-85049130644 | - |
dc.identifier.wosid | 000440624400005 | - |
dc.identifier.bibliographicCitation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.27, no.8 | - |
dc.relation.isPartOf | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.title | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.volume | 27 | - |
dc.citation.number | 8 | - |
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 | 2-BRIDGE KNOTS | - |
dc.subject.keywordAuthor | Graph | - |
dc.subject.keywordAuthor | lattice stick number | - |
dc.subject.keywordAuthor | upper bound | - |
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