Automatic computation of crosscap number of alternating knots

Kaito Yamada; Noboru Ito

Automatic computation of crosscap number of alternating knots

Geometric Topology 2023-03-20 v1

Authors: Kaito Yamada , Noboru Ito

Abstract

We specify the computational complexity of crosscap numbers of alternating knots by introducing an automatic computation. For an alternating knot $K$ , let $\cal{E}$ be the number of edges of its diagram. Then there exists a code such that the complexity of this computation of the crosscap number of $K$ is estimated by $O(\cal{E}^3)$ .

Keywords

crosscap number alternating knots computational complexity knot diagram automatic computation

Cite

@article{arxiv.2303.09996,
  title  = {Automatic computation of crosscap number of alternating knots},
  author = {Kaito Yamada and Noboru Ito},
  journal= {arXiv preprint arXiv:2303.09996},
  year   = {2023}
}

Comments

6 pages, 8 figures

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