A θ-curve is called almost trivial if it does not contain any non-trivial knot. A θ-curve is called strongly almost trivial if it has a planar projection which does not contain a projection of any non-trivial knot. In this paper, we introduce a method to present strongly almost trivial θ-curves. We also give an almost trivial θ-curve which may not be strongly almost trivial.
|Number of pages||12|
|Journal||Journal of Knot Theory and its Ramifications|
|Publication status||Published - 2002|
- Almost trivial
- Strongly almost trivial
ASJC Scopus subject areas
- Algebra and Number Theory