| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9516617 | Topology and its Applications | 2005 | 7 Pages |
Abstract
A projection of a knot is k-alternating if its overcrossings and undercrossings alternate in groups of k as one reads around the projection (an obvious generalization of the notion of an alternating projection). We prove that every knot admits a 2-alternating projection, which partitions nontrivial knots into two classes: alternating and 2-alternating.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Philip Hackney, Leonard Van Wyk, Nathan Walters,