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Linear inequalities for generalized kirchhoff law

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References

  1. L. Ford and D. Fulkerson, Flows in Networks, Princeton Univ. Press, Princeton, NJ (1962).

    MATH  Google Scholar 

  2. S. E. Lovetskii and I. I. Melamed, “Dynamic flows in networks,” Avtomat. Telemekh., No. 11, 7–29 (1987).

  3. E. E. Kirik and B. N. Pshenichnyi, “Theory and methods of flow calculation,” Obozrenie Prikl. Prom. Matemat.,2, No. 1, 49–69 (1995).

  4. V. E. Danil'chenko, V. V. Ostapenko, and A. P. Yakovleva, “On-line control of complex systems,” Kibern. Vychisl. Tekhn., No. 69, 82–86 (1986).

    Google Scholar 

  5. V. E. Danil'chenko, V. V. Ostapenko, and A. P. Yakovleva, Mathematical Topics of Modeling and Control in Water Distribution Problems [in Russian], Preprint 89-14, AN UkrSSR, Inst. Kibern. im. V. M. Glushkov, Kiev (1989).

    Google Scholar 

  6. V. V. Ostapenko and A. P. Jakovleva, “Mathematical questions of modeling and control in water distribution problems,” Contr. Cybern.,20, No. 4, 99–111 (1991).

  7. V. V. Ostapenko and A. I. Pavlygin, “Control of dynamic flows in networks ignoring node capacity,” in: Optimal Decision Theory [in Russian], NAN Ukr., Inst. Kibern. Im V. M. Glushkiova, Kiev (1995), pp. 19–24.

    Google Scholar 

  8. S. N. Chernikov, Linear Inequalities [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  9. L. Dantzer, B. Grunbaum, and B. Klee, Helly's Theorem [Russian translation], Mir, Moscow(1968).

    Google Scholar 

  10. O. Ore, Theory of Graphs, AMS, Providence, RI (1962).

    MATH  Google Scholar 

  11. V. A. Emelichev, O. I. Mel'nikov, V. I. Sarvanov, and R. I. Tyshkevich, Lectures in Graph Theory [in Russian], Nauka, Moscow (1990).

    Google Scholar 

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Authors
  1. V. V. Ostapenko
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  2. A. I. Pavlygin
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Additional information

The study was financed by the State Foundation for Basic Research of the State Committee of Science and Technology of Ukraine.

Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 140–147, May–June, 1997.

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Ostapenko, V.V., Pavlygin, A.I. Linear inequalities for generalized kirchhoff law. Cybern Syst Anal 33, 420–425 (1997). https://doi.org/10.1007/BF02733076

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