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Teoriya Veroyatnostei i ee Primeneniya, 1984, Volume 29, Issue 1, Pages 134–141 (Mi tvp1979)  

This article is cited in 4 scientific papers (total in 4 papers)

Short Communications

Random minimal trees

E. A. Timofeev

Yaroslavl
Full-text PDF (518 kB) Citations (4)
Abstract: We consider the length $l_n$ of minimal tree (the shortest connected net work) in a complete graph with $n$ vertices such that the lengths of its edges are independent identically distributed positive random variables. Under mild conditions on the distribution of the length of the edge the order of growth of $\mathbf Ml_n$ as $n\to\infty$ is found.
Received: 28.02.1981
English version:
Theory of Probability and its Applications, 1985, Volume 29, Issue 1, Pages 134–141
DOI: https://doi.org/10.1137/1129016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. A. Timofeev, “Random minimal trees”, Teor. Veroyatnost. i Primenen., 29:1 (1984), 134–141; Theory Probab. Appl., 29:1 (1985), 134–141
Citation in format AMSBIB
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\by E.~A.~Timofeev
\paper Random minimal trees
\jour Teor. Veroyatnost. i Primenen.
\yr 1984
\vol 29
\issue 1
\pages 134--141
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\zmath{https://zbmath.org/?q=an:0554.60016|0533.60013}
\transl
\jour Theory Probab. Appl.
\yr 1985
\vol 29
\issue 1
\pages 134--141
\crossref{https://doi.org/10.1137/1129016}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AFG0600016}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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