Simplifying flow networks

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Abstract

Maximum flow problems appear in many practical applications. In this paper, we study how to simplify a given directed flow network by finding edges that can be removed without changing the value of the maximum flow. We give a number of approaches which are increasingly more complex and more time-consuming, but in exchange they remove more and more edges from the network.

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Biedl, T. C., Brejová, B., & Vinař, T. (2000). Simplifying flow networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1893, pp. 192–201). Springer Verlag. https://doi.org/10.1007/3-540-44612-5_15

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