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. © 2004 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 125-131 |
Number of pages | 7 |
Journal | Topology and its Applications |
Volume | 150 |
Issue number | 1-3 |
DOIs | |
Publication status | Published - 14 May 2005 |
Externally published | Yes |
Keywords
- knots
- alternating knots
- almost-alternating knots
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