On Realizability of Gauss Diagrams

Andrey Grinblat; Viktor Lopatkin

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arXiv · 1610.01440

On Realizability of Gauss Diagrams

Andrey Grinblat·Viktor Lopatkin

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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.

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Andrey Grinblat, Viktor Lopatkin. 2016-09-21. On Realizability of Gauss Diagrams. https://arxiv.org/abs/1610.01440

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