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This article is cited in 4 scientific papers (total in 4 papers)
Geometry and topology
Classification of low complexity knotoids
Ph. G. Korablevab, Y. K. Maya, V. V. Tarkaevab a Chelyabinsk State University,
Br. Kashirinykh str., 192,
454000, Chelyabinsk, Russia
b N.N. Krasovsky Institute of Mathematics and Meckhanics,
str. S. Kovalevskoy, 4,
620990, Ekaterinburg, Russia
Abstract:
As the main result of the paper we present the complete classification of all prime knotoids with positive height and at most 5 crossings. We prove that there exist exactly 31 knotoids of this type. The proof is based on the complete table of knots in the thickened torus and the correspondence between knotoids in the two dimensional sphere and knots in the thickened torus.
Keywords:
knotoid, classification, crossing number, height of knotoid, table.
Received August 15, 2018, published October 23, 2018
Citation:
Ph. G. Korablev, Y. K. May, V. V. Tarkaev, “Classification of low complexity knotoids”, Sib. Èlektron. Mat. Izv., 15 (2018), 1237–1244
Linking options:
https://www.mathnet.ru/eng/semr991 https://www.mathnet.ru/eng/semr/v15/p1237
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Abstract page: | 204 | Full-text PDF : | 72 | References: | 22 |
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