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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 6, Pages 9–17 (Mi fpm1082)  
This article is cited in 2 scientific papers (total in 2 papers)

On planes trees with a prescribed number of valency set realizations

N. M. Adrianov

M. V. Lomonosov Moscow State University
Full-text PDF (120 kB) Citations (2)
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Abstract: We describe valency sets of plane bicolored trees with a prescribed number of realizations by plane trees. Three special types of plane trees are defined: chains, trees of diameter 4, and special trees of diameter 6. We prove that there is a finite number of valency sets that have $R$ realizations as plane trees and do not belong to these special types. The number of edges of such trees is less than or equal to $12R+2$. The complete lists of valency sets of plane bicolored trees with 1, 2, or 3 realizations are presented.
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 1, Pages 5–10
DOI: https://doi.org/10.1007/s10958-009-9369-3
Bibliographic databases:
UDC: 519.172.1+519.172.2+519.175.3
Language: Russian
Citation: N. M. Adrianov, “On planes trees with a prescribed number of valency set realizations”, Fundam. Prikl. Mat., 13:6 (2007), 9–17; J. Math. Sci., 158:1 (2009), 5–10
Citation in format AMSBIB
\Bibitem{Adr07}
\by N.~M.~Adrianov
\paper On planes trees with a~prescribed number of valency set realizations
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 6
\pages 9--17
\mathnet{http://mi.mathnet.ru/fpm1082}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2476026}
\transl
\jour J. Math. Sci.
\yr 2009
\vol 158
\issue 1
\pages 5--10
\crossref{https://doi.org/10.1007/s10958-009-9369-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-62249158419}
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  • https://www.mathnet.ru/eng/fpm/v13/i6/p9
    • 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
    		Фундаментальная и прикладная математика
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    Full-text PDF :115
    References:66
    First page:1
     
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