We specify the computational complexity of crosscap numbers of alternating knots by introducing an automatic computation. For an alternating knot K, let  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

automatic computation, crosscap number, alternating knot.

Received: March 8, 2023; Accepted: April 14, 2023; Published: May 23, 2023

How to cite this article: Kaito Yamada and Noboru Ito, Automatic computation of crosscap number of alternating knots, JP Journal of Geometry and Topology 29(1) (2023), 35-45. http://dx.doi.org/10.17654/0972415X23004

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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