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arXiv · 2206.02988

The Computational Complexity of Classical Knot Recognition

Kazuhiro Ichihara·Yuya Nishimura·Seiichi Tani
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Abstract

The classical knot recognition problem is the problem of determining whether the virtual knot represented by a given diagram is classical. We prove that this problem is in NP, and we give an exponential time algorithm for the problem.

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Kazuhiro Ichihara, Yuya Nishimura, Seiichi Tani. 2022-06-07. The Computational Complexity of Classical Knot Recognition. https://arxiv.org/abs/2206.02988

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