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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 1, Pages 12–19 (Mi dvmg225)  
Properties of connectivity components in parallel-sequantial connections

G. V. Grenkina, N. V. Markovab, G. Sh. Tsitsiashvilic

a Far Eastern Federal University, Vladivostok
b Pacific National University, Khabarovsk
c Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
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Abstract: In this paper recursive formulas for a calculation of generating functions, distributions and moments of random number of connectivity components in parallel-sequential graphs and their connectivity probabilities are obtained. For graphs with large number of arcs variants of the law of large numbers and the central limit theorem are formulated and proved.
Key words: parallel-sequential connection, connectivity component.
Received: 04.10.2011
Document Type: Article
UDC: 519.248:62-192+519.176
MSC: 60K10+94Cxx
Language: Russian
Citation: G. V. Grenkin, N. V. Markova, G. Sh. Tsitsiashvili, “Properties of connectivity components in parallel-sequantial connections”, Dal'nevost. Mat. Zh., 12:1 (2012), 12–19
Citation in format AMSBIB
\Bibitem{GreMarTsi12}
\by G.~V.~Grenkin, N.~V.~Markova, G.~Sh.~Tsitsiashvili
\paper Properties of connectivity components in parallel-sequantial connections
\jour Dal'nevost. Mat. Zh.
\yr 2012
\vol 12
\issue 1
\pages 12--19
\mathnet{http://mi.mathnet.ru/dvmg225}
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