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Algebra i Analiz, 2019, Volume 31, Issue 6, Pages 197–207 (Mi aa1678)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Spatial graphs, tangles and plane trees

V. M. Nezhinskijab

a St. Petersburg State University, Mathematics and Mechanics Faculty
b Herzen State Pedagogical University of Russia, St. Petersburg
Full-text PDF (203 kB) Citations (4)
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Abstract: All (finite connected) spatial graphs are supplied with an additional structure – the replenished skeleton and its disk framing, – in such a way that the problem of isotopic classification of spatial graphs endowed with this structure admits reduction to two problems: the (classical) problem of isotopic classification of tangles and the (close to classical) problem of isotopic classification of plane trees equipped with an additional structure, specifically, a set of hanging vertices and a fixed vertex (the root of the tree) in this set.
Keywords: chord diagram, tangle, plane tree, spacial graph, spacial tortoise, smooth isotopy.
Received: 21.11.2016
English version:
St. Petersburg Mathematical Journal, 2020, Volume 31, Issue 6, Pages 1055–1063
DOI: https://doi.org/10.1090/spmj/1633
Bibliographic databases:
Document Type: Article
MSC: 51B10
Language: Russian
Citation: V. M. Nezhinskij, “Spatial graphs, tangles and plane trees”, Algebra i Analiz, 31:6 (2019), 197–207; St. Petersburg Math. J., 31:6 (2020), 1055–1063
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:263
    Full-text PDF :40
    References:34
    First page:15
     
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