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Problemy Peredachi Informatsii, 1988, Volume 24, Issue 2, Pages 86–93 (Mi ppi700)  
Automata Theory and Communication-Network Theory

Cycles in Collectives of Threshold Automata

I. N. Karbovskii
Full-text PDF (799 kB)
Abstract: We prove that cycles of length $m\ge 3$ are impossible for symmetrical connection matrices in the class of regular collectives of threshold automata, which includes finite collectives and homogeneous networks as subclasses.
Received: 17.12.1985
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:503.5
Language: Russian
Citation: I. N. Karbovskii, “Cycles in Collectives of Threshold Automata”, Probl. Peredachi Inf., 24:2 (1988), 86–93; Problems Inform. Transmission, 24:2 (1988), 152–158
Citation in format AMSBIB
\Bibitem{Kar88}
\by I.~N.~Karbovskii
\paper Cycles in Collectives of Threshold Automata
\jour Probl. Peredachi Inf.
\yr 1988
\vol 24
\issue 2
\pages 86--93
\mathnet{http://mi.mathnet.ru/ppi700}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=955991}
\zmath{https://zbmath.org/?q=an:0668.68057}
\transl
\jour Problems Inform. Transmission
\yr 1988
\vol 24
\issue 2
\pages 152--158
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    		Проблемы передачи информации Problems of Information Transmission
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