On Realizability of Gauss Diagrams
Geometric Topology
2017-09-05 v2
Abstract
The problem of which Gauss diagram can be realized by knots is an old one and has been solved in several ways. In this paper, we present a direct approach to this problem. We show that the needed conditions for realizability of a Gauss diagram can be interpreted as follows "the number of exits = the number of entrances" and the sufficient condition is based on Jordan curve Theorem.
Cite
@article{arxiv.1610.01440,
title = {On Realizability of Gauss Diagrams},
author = {Andrey Grinblat and Viktor Lopatkin},
journal= {arXiv preprint arXiv:1610.01440},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:math/9810073, arXiv:math/0404490 by other authors