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Avtomatika i Telemekhanika, 2011, Issue 7, Pages 134–146 (Mi at2251)  
This article is cited in 8 scientific papers (total in 8 papers)

Stochastic Systems, Queuing Systems

Speeding up computation of the reliability polynomial coefficients for a random graph

A. S. Rodionov

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (248 kB) Citations (8)
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Abstract: We consider the problem of computing the coefficients of the reliability polynomial (RP) for a random graph with reliable vertices and unreliable edges. To speed up the computation, we use the meaning of RP coefficients in one of its representations and prove vector relations over vectors of binomial coefficients.
Presented by the member of Editorial Board: P. Yu. Chebotarev

Received: 24.08.2010
English version:
Automation and Remote Control, 2011, Volume 72, Issue 7, Pages 1474–1486
DOI: https://doi.org/10.1134/S0005117911070150
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Rodionov, “Speeding up computation of the reliability polynomial coefficients for a random graph”, Avtomat. i Telemekh., 2011, no. 7, 134–146; Autom. Remote Control, 72:7 (2011), 1474–1486
Citation in format AMSBIB
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\by A.~S.~Rodionov
\paper Speeding up computation of the reliability polynomial coefficients for a~random graph
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\pages 134--146
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\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 7
\pages 1474--1486
\crossref{https://doi.org/10.1134/S0005117911070150}
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  • https://www.mathnet.ru/eng/at2251
  • https://www.mathnet.ru/eng/at/y2011/i7/p134
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:371
    Full-text PDF :169
    References:45
    First page:11
     
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