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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5112| Title: | MINIMAL DEGREE SEQUENCE FOR TORUS KNOTS OF TYPE (p, q) |
| Authors: | Madeti, Prabhakar MISHRA, RAMA Dept. of Mathematics |
| Keywords: | Bridge number Real deformation Real and imaginary nodes (p-1)-alternating 2009 |
| Issue Date: | Apr-2009 |
| Publisher: | World Scientific Publishing |
| Citation: | Journal of Knot Theory and Its Ramifications, 18, (4), 485-491. |
| Abstract: | In this paper we prove the following result: for coprime positive integers p and q with p < q, if r is the least positive integer such that 2p-1 and q + r are coprime, then the minimal degree sequence for a torus knot of type (p, q) is the triple (2p - 1, q + r, d) or (q + r, 2p - 1, d) where q + r + 1 ≤ d ≤ 2q - 1. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5112 https://doi.org/10.1142/S021821650900704X |
| ISSN: | 0218-2165 |
| Appears in Collections: | JOURNAL ARTICLES |
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