Loading [MathJax]/jax/output/SVG/config.js
Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Nez19}
\by V.~M.~Nezhinskij
\paper Spatial graphs, tangles and plane trees
\jour Algebra i Analiz
\yr 2019
\vol 31
\issue 6
\pages 197--207
\mathnet{http://mi.mathnet.ru/aa1678}
\elib{https://elibrary.ru/item.asp?id=45084199}
\transl
\jour St. Petersburg Math. J.
\yr 2020
\vol 31
\issue 6
\pages 1055--1063
\crossref{https://doi.org/10.1090/spmj/1633}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000587617700005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85097525412}
Linking options:
  • https://www.mathnet.ru/eng/aa1678
  • https://www.mathnet.ru/eng/aa/v31/i6/p197
    • This publication is cited in the following 4 articles:
    1. V. M. Nezhinskij, M. V. Petrov, “Disk-Band Graphs in the Theory of Framed Tangles”, Vestnik St.Petersb. Univ.Math., 57:3 (2024), 331  crossref
    2. V. M. Nezhinskij, “Kindred Diagrams”, Vestnik St.Petersb. Univ.Math., 56:4 (2023), 521  crossref
    3. V. M. Nezhinskij, “Spatial graphs and their isotopy classification”, Sib. elektron. matem. izv., 18:2 (2021), 1390–1396  mathnet  crossref
    4. V. M. Nezhinskii, “Izotopicheskie invarianty prostranstvennykh grafov”, Sib. elektron. matem. izv., 17 (2020), 769–776  mathnet  crossref
    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
    Statistics & downloads:
    Abstract page:291
    Full-text PDF :52
    References:45
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025