Automatic computation of crosscap number of alternating knots

Kaito Yamada; Noboru Ito

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arXiv · 2303.09996

Automatic computation of crosscap number of alternating knots

Kaito Yamada·Noboru Ito

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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 $O(\cal{E}^3)$.

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Kaito Yamada, Noboru Ito. 2023-03-17. Automatic computation of crosscap number of alternating knots. https://arxiv.org/abs/2303.09996

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