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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1237–1244
DOI: https://doi.org/10.17377/semi.2018.15.100 (Mi semr991) 		 
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
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DOI: https://doi.org/10.17377/semi.2018.15.100
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.
Funding agency Grant number
Russian Science Foundation 16–11–10291
Received August 15, 2018, published October 23, 2018
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
MSC: 57M25
Language: Russian
Citation: Ph. G. Korablev, Y. K. May, V. V. Tarkaev, “Classification of low complexity knotoids”, Sib. Èlektron. Mat. Izv., 15 (2018), 1237–1244
Citation in format AMSBIB
\Bibitem{KorMayTar18}
\by Ph.~G.~Korablev, Y.~K.~May, V.~V.~Tarkaev
\paper Classification of low complexity knotoids
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1237--1244
\mathnet{http://mi.mathnet.ru/semr991}
\crossref{https://doi.org/10.17377/semi.2018.15.100}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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