English

The Computational Complexity of Classical Knot Recognition

Geometric Topology 2022-06-08 v1

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.

Keywords

Cite

@article{arxiv.2206.02988,
  title  = {The Computational Complexity of Classical Knot Recognition},
  author = {Kazuhiro Ichihara and Yuya Nishimura and Seiichi Tani},
  journal= {arXiv preprint arXiv:2206.02988},
  year   = {2022}
}

Comments

54 pages, 36 figures

R2 v1 2026-06-24T11:41:24.099Z