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Problemy Peredachi Informatsii, 1993, Volume 29, Issue 3, Pages 86–100 (Mi ppi191)  

Communication Network Theory

Bounds of Two-Terminal Network Reliability and Base Spectrum of Network Graph

V. P. Polesskii
Abstract: The base spectrum is a set of effectively computable graph parameters. Its components are the frameness and the forestness of the graph.
The significance of the base spectrum for derivation of effective bounds on the all- and two-terminal network reliability is demonstrated. Several related conjectures are formulated. For certain classes of graphs, upper bounds for two-terminal reliability are derived; these bounds confirm one of the above conjectures.
Received: 09.12.1991
Bibliographic databases:
Document Type: Article
UDC: 621.394.74.019.3
Language: Russian
Citation: V. P. Polesskii, “Bounds of Two-Terminal Network Reliability and Base Spectrum of Network Graph”, Probl. Peredachi Inf., 29:3 (1993), 86–100; Problems Inform. Transmission, 29:3 (1993), 277–289
Citation in format AMSBIB
\Bibitem{Pol93}
\by V.~P.~Polesskii
\paper Bounds of Two-Terminal Network Reliability and Base Spectrum of Network Graph
\jour Probl. Peredachi Inf.
\yr 1993
\vol 29
\issue 3
\pages 86--100
\mathnet{http://mi.mathnet.ru/ppi191}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1239379}
\zmath{https://zbmath.org/?q=an:0837.68007}
\transl
\jour Problems Inform. Transmission
\yr 1993
\vol 29
\issue 3
\pages 277--289
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    Проблемы передачи информации Problems of Information Transmission
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