抄録
We show that for any nontrivial knot K and any natural number n, there is a diagram D of K such that the unknotting number of D is greater than or equal to n. It is well-known that twice the unknotting number of K is less than or equal to the crossing number of K minus one. We show that the equality holds only when K is a (2, p)-torus knot.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 1049-1063 |
| ページ数 | 15 |
| ジャーナル | Journal of Knot Theory and its Ramifications |
| 巻 | 18 |
| 号 | 8 |
| DOI | |
| 出版ステータス | Published - 2009 8月 |
ASJC Scopus subject areas
- 代数と数論