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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 279, Pages 197–217 (Mi znsl1462)  
This article is cited in 6 scientific papers (total in 6 papers)

Fast algorithms for identification and comparison of braids

A. V. Malyutin

Saint-Petersburg State University
Full-text PDF (295 kB) Citations (6)
Abstract: A method for constructing various algorithms for mapping-class groups (e.g., for the braid group) is presented, and a family of one-side invariant orders on the mapping-class group of a surface with boundary is described. A method for constructing comparison algorithms for all finite orders on the mapping-class group of any surface with boundary is described, a fast and simple comparison algorithm for the Dehornois order on the braid group is presented, examples of normal forms for braid groups are given, and algorithms for finding the forms are indicated.
Received: 31.12.2000
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 1, Pages 101–111
DOI: https://doi.org/10.1023/B:JOTH.0000008747.72654.14
Bibliographic databases:
UDC: 515.162.8+512.54
Language: Russian
Citation: A. V. Malyutin, “Fast algorithms for identification and comparison of braids”, Geometry and topology. Part 6, Zap. Nauchn. Sem. POMI, 279, POMI, St. Petersburg, 2001, 197–217; J. Math. Sci. (N. Y.), 119:1 (2004), 101–111
Citation in format AMSBIB
\Bibitem{Mal01}
\by A.~V.~Malyutin
\paper Fast algorithms for identification and comparison of braids
\inbook Geometry and topology. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 279
\pages 197--217
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1846081}
\zmath{https://zbmath.org/?q=an:1070.20044}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 1
\pages 101--111
\crossref{https://doi.org/10.1023/B:JOTH.0000008747.72654.14}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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