Theoretical improvements in algorithmic efficiency for network flow problems

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Abstract

This paper presents new algorithms for the maximum flow problem, the Hitchcock transportation problem and the general minimum-cost flow problem. Upper bounds on the number of steps in these algorithms are derived, and are shown to improve on the upper bounds of earlier algorithms.

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Edmonds, J., & Karp, R. M. (2003). Theoretical improvements in algorithmic efficiency for network flow problems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2570, pp. 31–33). Springer Verlag. https://doi.org/10.1007/3-540-36478-1_4

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