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Avtomatika i Telemekhanika, 1981, Issue 1, Pages 113–122 (Mi at5702)  
Simulation of Behavior and Intelligence

Graph substitution operators and dynamics of collegiate hierarchical graphs

L. A. Gusev, S. V. Petrov, I. M. Smirnova, L. A. Tenenbaum

Moscow
Full-text PDF (1740 kB)
Abstract: Solutions are considered to graph dynamic equations are specified on a set of collegiate hierarchical graphs by substitution operators. The findings permit determining from the initial and substitution graphs the existence of a periodic solution and its period, the composition of collegiate set on the periodic part of the path, and the inferiority structure of noncollegiate vertices.

Received: 07.03.1980
Bibliographic databases:
Document Type: Article
UDC: 519.14
Language: Russian
Citation: L. A. Gusev, S. V. Petrov, I. M. Smirnova, L. A. Tenenbaum, “Graph substitution operators and dynamics of collegiate hierarchical graphs”, Avtomat. i Telemekh., 1981, no. 1, 113–122; Autom. Remote Control, 42:1 (1981), 90–98
Citation in format AMSBIB
\Bibitem{GusPetSmi81}
\by L.~A.~Gusev, S.~V.~Petrov, I.~M.~Smirnova, L.~A.~Tenenbaum
\paper Graph substitution operators and dynamics of collegiate hierarchical graphs
\jour Avtomat. i Telemekh.
\yr 1981
\issue 1
\pages 113--122
\mathnet{http://mi.mathnet.ru/at5702}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=651408}
\zmath{https://zbmath.org/?q=an:0465.90061}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 42
\issue 1
\pages 90--98
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  • https://www.mathnet.ru/eng/at/y1981/i1/p113
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