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Diskretnyi Analiz i Issledovanie Operatsii, 2011, Volume 18, Issue 1, Pages 3–14 (Mi da633)  
The enumerative properties of combinatorial partition polynomials

A. A. Balaghura, O. V. Kuzmin

Irkutsk State University, Irkutsk, Russia
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Abstract: The enumerative interpretations of homogeneous Platonov polynomials and their generalizations are found. A combinatorial way of solving Schroder's fourth problem (all variants of putting elements of a set in brackets) and its generalizations are proposed. The several problems of enumerating trees are studied. Bibliogr. 6.
Keywords: combinatorial partition polynomial, rooted tree, Schroder's fourth problem.
Received: 23.07.2010
Bibliographic databases:
Document Type: Article
UDC: 119.1
Language: Russian
Citation: A. A. Balaghura, O. V. Kuzmin, “The enumerative properties of combinatorial partition polynomials”, Diskretn. Anal. Issled. Oper., 18:1 (2011), 3–14
Citation in format AMSBIB
\Bibitem{BalKuz11}
\by A.~A.~Balaghura, O.~V.~Kuzmin
\paper The enumerative properties of combinatorial partition polynomials
\jour Diskretn. Anal. Issled. Oper.
\yr 2011
\vol 18
\issue 1
\pages 3--14
\mathnet{http://mi.mathnet.ru/da633}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2847823}
\zmath{https://zbmath.org/?q=an:1249.05009}
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