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Diskretnaya Matematika, 2011, Volume 23, Issue 1, Pages 3–20
DOI: https://doi.org/10.4213/dm1126 (Mi dm1126) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the maximum size of a tree in a random unlabelled unrooted forest

E. S. Bernikovich, Yu. L. Pavlov
Full-text PDF (165 kB) Citations (4)
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DOI: https://doi.org/10.4213/dm1126
Abstract: For a random unlabelled unrooted forest consisting of $N$ trees and $n$ vertices we obtain limit distributions of the maximum tree size in all domains where $N$ and $n$ tend to infinity. We formulate conditions for emergence of a giant tree in the random forest.
Received: 22.11.2010
English version:
Discrete Mathematics and Applications, 2011, Volume 21, Issue 1, Pages 1–21
DOI: https://doi.org/10.1515/DMA.2011.001
Bibliographic databases:
Document Type: Article
UDC: 512.24
Language: Russian
Citation: E. S. Bernikovich, Yu. L. Pavlov, “On the maximum size of a tree in a random unlabelled unrooted forest”, Diskr. Mat., 23:1 (2011), 3–20; Discrete Math. Appl., 21:1 (2011), 1–21
Citation in format AMSBIB
\Bibitem{BerPav11}
\by E.~S.~Bernikovich, Yu.~L.~Pavlov
\paper On the maximum size of a~tree in a~random unlabelled unrooted forest
\jour Diskr. Mat.
\yr 2011
\vol 23
\issue 1
\pages 3--20
\mathnet{http://mi.mathnet.ru/dm1126}
\crossref{https://doi.org/10.4213/dm1126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2830693}
\elib{https://elibrary.ru/item.asp?id=20730368}
\transl
\jour Discrete Math. Appl.
\yr 2011
\vol 21
\issue 1
\pages 1--21
\crossref{https://doi.org/10.1515/DMA.2011.001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953294569}
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  • https://doi.org/10.4213/dm1126
  • https://www.mathnet.ru/eng/dm/v23/i1/p3
    • 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
    		Дискретная математика
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