Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2011, Volume 2, Issue 2, Pages 95–118
DOI: https://doi.org/10.4213/mvk33 (Mi mvk33) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Random mappings with fixed elements

V. N. Sachkov

Academy of Cryptography of Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk33
Abstract: We consider orgraphs of random mappings of $n$-element set having uniform distribution on the set of all mappings with fixed points. Formulas for exact and limit distributions of the number of vertices in a tree or in a forest containing a given vertex are derived along with analogous results for the height of a given vertex conditioned to belong to a forest. Exact and limit distributions of the height of a given vertex in a random rooted tree or forest with $n$ vertices are derived also.
Key words: random mappings with fixed elements, orgraphs, rooted trees, forests, height of a vertex, limit distributions.
Received 22.IV.2010
Document Type: Article
UDC: 519.212.2
Language: Russian
Citation: V. N. Sachkov, “Random mappings with fixed elements”, Mat. Vopr. Kriptogr., 2:2 (2011), 95–118
Citation in format AMSBIB
\Bibitem{Sac11}
\by V.~N.~Sachkov
\paper Random mappings with fixed elements
\jour Mat. Vopr. Kriptogr.
\yr 2011
\vol 2
\issue 2
\pages 95--118
\mathnet{http://mi.mathnet.ru/mvk33}
\crossref{https://doi.org/10.4213/mvk33}
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  • https://www.mathnet.ru/eng/mvk/v2/i2/p95
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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