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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
Full Text: DOI

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 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: 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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