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Prikladnaya Diskretnaya Matematika, 2013, Number 1(19), Pages 93–98 (Mi pdm402)  
This article is cited in 2 scientific papers (total in 2 papers)

Applied Graph Theory

Asymptotics for connectivity probability of graph with low reliable arcs

G. Sh. Tsitsiashvili, M. A. Osipova, A. S. Losev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
Full-text PDF (512 kB) Citations (2)
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Abstract: Asymptotics of connectivity probabilities for complete graphs with the low reliable arcs and for all pairs of nodes in them are constructed. Parameters of these asymptotics are characteristics of spanning trees and shortest paths. The calculation of the spanning trees characteristics is based on the Kirchhoff–Trent theorem. Modifications of classical algorithms are applied to calculate the characteristics of shortest paths.
Keywords: spanning tree, Kirchhoff's matrix, shortest path, connectivity probability, calculation complexity.
Document Type: Article
UDC: 519.248:62-192+519.176
Language: Russian
Citation: G. Sh. Tsitsiashvili, M. A. Osipova, A. S. Losev, “Asymptotics for connectivity probability of graph with low reliable arcs”, Prikl. Diskr. Mat., 2013, no. 1(19), 93–98
Citation in format AMSBIB
\Bibitem{TsiOsiLos13}
\by G.~Sh.~Tsitsiashvili, M.~A.~Osipova, A.~S.~Losev
\paper Asymptotics for connectivity probability of graph with low reliable arcs
\jour Prikl. Diskr. Mat.
\yr 2013
\issue 1(19)
\pages 93--98
\mathnet{http://mi.mathnet.ru/pdm402}
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  • https://www.mathnet.ru/eng/pdm/y2013/i1/p93
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Прикладная дискретная математика
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