The 2-bridge knots of up to 16 crossings
| dc.creator | De Wit, David | |
| dc.date | 2004-09-20 | |
| dc.date | 2004-09-26 | |
| dc.date.accessioned | 2026-07-07T05:12:20Z | |
| dc.date.available | 2026-07-07T05:12:20Z | |
| dc.description | For any given number of crossings $c$, there exists a formula to determine the number of 2-bridge knots of $c$ crossings, and indeed it is a simple matter to actually construct presentations of these knots. However, the determination of whether a given (prime) knot is a 2-bridge knot remains a nontrivial exercise, and we have no procedure to determine bridge numbers more generally. Herein, we identify the 2-bridge knots within the Hoste--Thistlethwaite--Weeks tables of prime knots of up to 16 crossings by an exhaustive search of a larger set of 2-bridge knots. As the unknot is the only knot with bridge number 1, this yields a lower bound of 3 for the bridge numbers of the remaining knots. | |
| dc.identifier | https://arxiv.org/abs/math/0409351 | |
| dc.identifier | http://arxiv.org/abs/math/0409351 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72538 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | The 2-bridge knots of up to 16 crossings | |
| dc.type | text |