A New Way to Tabulate Knots
| dc.creator | Hernandez, Lisa | |
| dc.creator | Lin, Xiao-Song | |
| dc.date | 2005-08-29 | |
| dc.date.accessioned | 2026-07-07T05:22:47Z | |
| dc.date.available | 2026-07-07T05:22:47Z | |
| dc.description | We introduce a new way to tabulate knots by representing knot diagrams using a pair of planar trees. This pair of trees have their edges labeled by integers, they have no valence 2 vertices, and they have the same number of valence 1 vertices. The number of valence 1 vertices of the trees is called the girth of the knot diagram. The classification problem of knots admitting girth 2 and 3 diagrams is studied. The planar tree pair representations of girth less than 4 for knot diagrams in Rolfsen's table are given. | |
| dc.description | 17 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/0508590 | |
| dc.identifier | http://arxiv.org/abs/math/0508590 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76195 | |
| dc.subject | Geometric Topology | |
| dc.title | A New Way to Tabulate Knots | |
| dc.type | text |