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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 1, Pages 16–33
DOI: https://doi.org/10.4213/faa93 (Mi faa93) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Three-Page Embeddings of Singular Knots

V. V. Vershininab, V. A. Kurlinc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Universite Montpellier II
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (287 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa93
Abstract: A semigroup with 15 generators and 84 relations is constructed. The center of the semigroup is in a one-to-one correspondence with the set of all isotopy classes of nonoriented singular knots (links with finitely many double intersections in general position) in R3.
Keywords: isotopy classification, singular knot, three-page embedding, universal semigroup, knotted graph.
Received: 27.09.2002
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 1, Pages 14–27
DOI: https://doi.org/10.1023/B:FAIA.0000024864.64045.de
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: V. V. Vershinin, V. A. Kurlin, “Three-Page Embeddings of Singular Knots”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 16–33; Funct. Anal. Appl., 38:1 (2004), 14–27
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    1. Yury Elkin, Di Liu, Vitaliy Kurlin, Mathematics and Visualization, Topological Methods in Data Analysis and Visualization VI, 2021, 245  crossref
    2. Bright M., Kurlin V., “Encoding and Topological Computation on Textile Structures”, Comput. Graph.-UK, 90 (2020), 51–61  crossref  isi
    3. Kurlin V. Smithers Ch., “a Linear Time Algorithm For Embedding Arbitrary Knotted Graphs Into a 3-Page Book”, Computer Vision, Imaging and Computer Graphics Theory and Applications, Communications in Computer and Information Science, 598, ed. Braz J. Pettre J. Richard P. Kerren A. Linsen L. Battiato S. Imai F., Springer-Verlag Berlin, 2016, 99–122  crossref  isi  scopus
    4. Cherry Kearton, Vitaliy Kurlin, “All 2–dimensional links in 4–space live inside a universal 3–dimensional polyhedron”, Algebr. Geom. Topol., 8:3 (2008), 1223  crossref
    5. Kurlin V., “Three-page encoding and complexity theory for spatial graphs”, J. Knot Theory Ramifications, 16:1 (2007), 59–102  crossref  mathscinet  zmath  isi  elib  scopus
    6. Dujmović V, Wood D.R., “Stacks, queues and tracks: Layouts of graph subdivisions”, Discrete Math. Theor. Comput. Sci., 7:1 (2005), 155–201  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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