DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jin, Gyo Taek | ko |
dc.contributor.author | Park, Wang Keun | ko |
dc.date.accessioned | 2013-03-09T16:18:28Z | - |
dc.date.available | 2013-03-09T16:18:28Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-12 | - |
dc.identifier.citation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.19, no.12, pp.1655 - 1672 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | http://hdl.handle.net/10203/96838 | - |
dc.description.abstract | Every knot can be embedded in the union of finitely many half planes with a common boundary line in such a way that the portion of the knot in each half plane is a properly embedded arc. The minimal number of such half planes is called the arc index of the knot. We have identified all prime knots with arc index up to 11. We also proved that the crossing number is an upperbound of arc index for non-alternating knots. As a result the arc index is determined for prime knots up to twelve crossings. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | OPEN-BOOK | - |
dc.subject | EMBEDDING KNOTS | - |
dc.subject | LINKS | - |
dc.title | PRIME KNOTS WITH ARC INDEX UP TO 11 AND AN UPPER BOUND OF ARC INDEX FOR NON-ALTERNATING KNOTS | - |
dc.type | Article | - |
dc.identifier.wosid | 000286382400006 | - |
dc.identifier.scopusid | 2-s2.0-78651380184 | - |
dc.type.rims | ART | - |
dc.citation.volume | 19 | - |
dc.citation.issue | 12 | - |
dc.citation.beginningpage | 1655 | - |
dc.citation.endingpage | 1672 | - |
dc.citation.publicationname | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.identifier.doi | 10.1142/S0218216510008595 | - |
dc.contributor.localauthor | Jin, Gyo Taek | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Knot | - |
dc.subject.keywordAuthor | link | - |
dc.subject.keywordAuthor | arc presentation | - |
dc.subject.keywordAuthor | arc index | - |
dc.subject.keywordAuthor | Cromwell matrix | - |
dc.subject.keywordAuthor | grid diagram | - |
dc.subject.keywordAuthor | knot-spoke diagram | - |
dc.subject.keywordPlus | OPEN-BOOK | - |
dc.subject.keywordPlus | EMBEDDING KNOTS | - |
dc.subject.keywordPlus | LINKS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.