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Diskretnaya Matematika, 1999, Volume 11, Issue 1, Pages 129–139
DOI: https://doi.org/10.4213/dm360 (Mi dm360) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Reliability of binary systems

A. A. Chernyak, Zh. A. Chernyak
Full-text PDF (1258 kB) Citations (2)
DOI: https://doi.org/10.4213/dm360
Abstract: The main result of the paper is a theorem characterizing the combinatorial structure of pathsets and cutsets of regular binary systems. As direct corollaries of the theorem the following results are presented: efficient algorithms for computing the reliability and determining all minimal cutsets of regular and uniform regular systems are given; a constructive characterization of regular systems having a matroidal structure is suggested; efficiently computable lower bounds for the reliability of uniform systems, which are provided by regular systems, are obtained.
Received: 20.12.1996
Revised: 28.01.1998
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: A. A. Chernyak, Zh. A. Chernyak, “Reliability of binary systems”, Diskr. Mat., 11:1 (1999), 129–139; Discrete Math. Appl., 9:1 (1999), 101–112
Citation in format AMSBIB
\Bibitem{CheChe99}
\by A.~A.~Chernyak, Zh.~A.~Chernyak
\paper Reliability of binary systems
\jour Diskr. Mat.
\yr 1999
\vol 11
\issue 1
\pages 129--139
\mathnet{http://mi.mathnet.ru/dm360}
\crossref{https://doi.org/10.4213/dm360}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702912}
\zmath{https://zbmath.org/?q=an:0969.68022}
\transl
\jour Discrete Math. Appl.
\yr 1999
\vol 9
\issue 1
\pages 101--112
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    • 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
    		Дискретная математика
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