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Avtomatika i Telemekhanika, 1975, Issue 6, Pages 85–94 (Mi at7906)  
Minimization of determining oriented networks with arbitrary arc capacities

M. B. Gendler, E. Ya. Gik

Moscow
Full-text PDF (2080 kB)
Abstract: The paper is concerned with conversions or arc contractions, of oriented networks with arbitrary throughputs of the arcs. Conditions are given under which the resultant networks univalently determine the fluxes in the initial network. For a given network such networks are determinant. The structure of the determinant networks is studied and the problem of their minimization is solved.

Received: 30.05.1974
Bibliographic databases:
Document Type: Article
UDC: 621.3.06
Language: Russian
Citation: M. B. Gendler, E. Ya. Gik, “Minimization of determining oriented networks with arbitrary arc capacities”, Avtomat. i Telemekh., 1975, no. 6, 85–94; Autom. Remote Control, 36:6 (1975), 953–962
Citation in format AMSBIB
\Bibitem{GenGik75}
\by M.~B.~Gendler, E.~Ya.~Gik
\paper Minimization of determining oriented networks with arbitrary arc capacities
\jour Avtomat. i Telemekh.
\yr 1975
\issue 6
\pages 85--94
\mathnet{http://mi.mathnet.ru/at7906}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=449595}
\zmath{https://zbmath.org/?q=an:0326.90062}
\transl
\jour Autom. Remote Control
\yr 1975
\vol 36
\issue 6
\pages 953--962
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