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An \(O(IVI^3)\) algorithm for finding maximum flows in networks. (English) Zbl 0391.90041


MSC:

90B10 Deterministic network models in operations research
68Q25 Analysis of algorithms and problem complexity
05C99 Graph theory
65K05 Numerical mathematical programming methods

Citations:

Zbl 0219.90046
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References:

[1] Cherkasky, B.V., Algorithm of construction of maximal flow in networks with complexity of \(O(|V|\^{}\{2\}·|E|\^{}\{12\}\) operations, Math. methods of solution of econ. problems, 7, 117-125, (1977)
[2] Dinic, E.A., Algorithm for solution of a problem of maximum flow in a network with power estimation, Soviet math. dokl., 11, 1277-1280, (1970) · Zbl 0219.90046
[3] Even, S., The MAX flow algorithm of dinic and karzanov: an exposition, MIT laboratory for computer science technical report no. MIT/LCS/TM-80, (1976)
[4] Even, S.; Tarjan, R.E., Network flow and testing graph connectivity, SIAM J. comput., 4, 507-518, (1975) · Zbl 0328.90031
[5] Ford, L.R.; Fulkerson, D.R., Flows in networks, (1962), Princeton University Press Princeton, NJ · Zbl 0139.13701
[6] Galil, Z., A new algorithm for maximal flow problem: preliminary version, (1978), Dept. of Mathematical Sciences, Tel-Aviv University Tel-Aviv, Israel
[7] Karzanov, A.V., Determining the maximal flow in a network by the method of preflows, Soviet math. dokl., 15, 434-437, (1974) · Zbl 0303.90014
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