I. O. Koryakov, “Finite prefix codes and finatary trees”, Bulletin of Irkutsk State University. Series Mathematics, 6:3 (2013), 38

Bulletin of Irkutsk State University. Series Mathematics

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Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 3, Pages 38–47 (Mi iigum23)

Finite prefix codes and finatary trees

I. O. Koryakov

Ural Federal University, Lenina 51, 620000 Ekaterinburg

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Abstract: We find an explicit formula for the number of all $p$-ary $k$-trees with $m$ leaves. Analyzing this formula, we arrive at a number of combinatorial identities.

Keywords: tree; prefix code; generating function; Fuss number; Catalan number; Motzkin language.

Document Type: Article

UDC: 519.111

Language: Russian

Citation: I. O. Koryakov, “Finite prefix codes and finatary trees”, Bulletin of Irkutsk State University. Series Mathematics, 6:3 (2013), 38–47

Citation in format AMSBIB

\Bibitem{Kor13}

\by I.~O.~Koryakov

\paper Finite prefix codes and finatary trees

\jour Bulletin of Irkutsk State University. Series Mathematics

\yr 2013

\vol 6

\issue 3

\pages 38--47

\mathnet{http://mi.mathnet.ru/iigum23}

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https://www.mathnet.ru/eng/iigum23

https://www.mathnet.ru/eng/iigum/v6/i3/p38

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