REGULAR PROJECTIONS OF GRAPHS WITH AT MOST THREE DOUBLE POINTS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Huh, Youngsik | - |
dc.contributor.author | Nikkuni, Ryo | - |
dc.date.accessioned | 2022-12-20T16:32:24Z | - |
dc.date.available | 2022-12-20T16:32:24Z | - |
dc.date.created | 2022-08-27 | - |
dc.date.issued | 2010-07 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/174489 | - |
dc.description.abstract | A generic immersion of a planar graph into the 2-space is said to be knotted if there does not exist a trivial embedding of the graph into the 3-space obtained by lifting the immersion with respect to the natural projection from the 3-space to the 2-space. In this paper, we show that if a generic immersion of a planar graph is knotted then the number of double points of the immersion is more than or equal to three. To prove this, we also show that an embedding of a graph obtained from a generic immersion of the graph (does not need to be planar) with at most three double points is totally free if it contains neither a Hopf link nor a trefoil knot. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | REGULAR PROJECTIONS OF GRAPHS WITH AT MOST THREE DOUBLE POINTS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Huh, Youngsik | - |
dc.identifier.doi | 10.1142/S0218216510008261 | - |
dc.identifier.scopusid | 2-s2.0-77955611231 | - |
dc.identifier.wosid | 000280853400007 | - |
dc.identifier.bibliographicCitation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.19, no.7, pp.917 - 933 | - |
dc.relation.isPartOf | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.title | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.citation.volume | 19 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 917 | - |
dc.citation.endPage | 933 | - |
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 | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | PLANAR GRAPHS | - |
dc.subject.keywordPlus | CONJECTURE | - |
dc.subject.keywordAuthor | Spatial graph | - |
dc.subject.keywordAuthor | regular projection | - |
dc.subject.keywordAuthor | knotted projection | - |
dc.identifier.url | https://www.worldscientific.com/doi/abs/10.1142/S0218216510008261 | - |
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