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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 3, Pages 55–74
DOI: https://doi.org/10.17377/daio.2015.22.455
(Mi da819)
 

This article is cited in 9 scientific papers (total in 9 papers)

The maximal flow problem on networks with special conditions of flow distribution

V. A. Skorokhodov, A. S. Chebotareva

Southern Federal University, 8a Milchakova St., 344090 Rostov-on-Don, Russia
Full-text PDF (318 kB) Citations (9)
References:
Abstract: We consider the problem of finding the maximal flow in nets with conditions of strict and nonstrict flow distribution. We show that for each condition of flow distribution the solution of the considered problem exists and is unique. The algorithms for finding the maximal flow are developed for each condition of flow distribution. We find bounds on the maximal flow value in the case of strict flow distribution. Ill. 3, tab. 4, bibliogr. 11.
Keywords: network, graph, graph algorithm, maximal flow on network, flow distribution.
Received: 16.06.2014
Revised: 25.03.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 435–446
DOI: https://doi.org/10.1134/S199047891503014X
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: V. A. Skorokhodov, A. S. Chebotareva, “The maximal flow problem on networks with special conditions of flow distribution”, Diskretn. Anal. Issled. Oper., 22:3 (2015), 55–74; J. Appl. Industr. Math., 9:3 (2015), 435–446
Citation in format AMSBIB
\Bibitem{SkoChe15}
\by V.~A.~Skorokhodov, A.~S.~Chebotareva
\paper The maximal flow problem on networks with special conditions of flow distribution
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 3
\pages 55--74
\mathnet{http://mi.mathnet.ru/da819}
\crossref{https://doi.org/10.17377/daio.2015.22.455}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3443298}
\elib{https://elibrary.ru/item.asp?id=23859892}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 3
\pages 435--446
\crossref{https://doi.org/10.1134/S199047891503014X}
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  • https://www.mathnet.ru/eng/da/v22/i3/p55
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретный анализ и исследование операций
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    Abstract page:242
    Full-text PDF :263
    References:43
    First page:9
     
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