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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 411, Pages 148–177 (Mi znsl5638)  
This article is cited in 2 scientific papers (total in 2 papers)

Donaghey's transformation: an elementary approach

I. A. Pushkarev, V. A. Byzov

Vyatka State University, Kirov, Russia
Full-text PDF (595 kB) Citations (2)
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Abstract: In this paper, we study the properties of the orbit of a special transformation of plane planted trees and its remarkable behavior. This transformation was introduced by R. Donaghey. We prove some nontrivial properties of this transformation (the behavior of the transformation of the fringed trees, “carousel effect”) and obtain a lower estimate of the number of orbits of the transformation.
Key words and phrases: plane planted trees, Donaghey's transformation, orbit of a transformation, carousel effect, fringing of trees.
Received: 19.12.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 196, Issue 2, Pages 199–215
DOI: https://doi.org/10.1007/s10958-013-1653-6
Bibliographic databases:
Document Type: Article
UDC: 519.12
Language: Russian
Citation: I. A. Pushkarev, V. A. Byzov, “Donaghey's transformation: an elementary approach”, Representation theory, dynamical systems, combinatorial methods. Part XXII, Zap. Nauchn. Sem. POMI, 411, POMI, St. Petersburg, 2013, 148–177; J. Math. Sci. (N. Y.), 196:2 (2014), 199–215
Citation in format AMSBIB
\Bibitem{PusByz13}
\by I.~A.~Pushkarev, V.~A.~Byzov
\paper Donaghey's transformation: an elementary approach
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXII
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 411
\pages 148--177
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5638}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3048275}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 196
\issue 2
\pages 199--215
\crossref{https://doi.org/10.1007/s10958-013-1653-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897100570}
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  • https://www.mathnet.ru/eng/znsl5638
  • https://www.mathnet.ru/eng/znsl/v411/p148
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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