The computational complexity of classical knot recognition

Journal of Knot Theory and Its Ramifications Volume 32 Issue 11 Page 2350069- published_at 2023-10-10
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Title ( eng )
The computational complexity of classical knot recognition
Creator
Ichihara Kazuhiro
Nishimura Yuya
Tani Seiichi
Source Title
Journal of Knot Theory and Its Ramifications
Volume 32
Issue 11
Start Page 2350069
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
Virtual knots
computational complexity
algorithms
Language
eng
Resource Type journal article
Publisher
World Scientific Publishing
Date of Issued 2023-10-10
Rights
Electronic version of an article published as Journal of Knot Theory and Its Ramifications, 32, 11, 2023, 2350069, https://doi.org/10.1142/S0218216523500694, © copyright World Scientific Publishing Company
This is not the published version. Please cite only the published version.
この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。
Publish Type Accepted Manuscript
Access Rights open access
Source Identifier
[DOI] https://doi.org/10.1142/S0218216523500694 isVersionOf