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Multicut and integral multiflow : a survey.

Abstract : We present a survey about the maximum integral multiflow and minimum multicut problems and their subproblems, such as the multiterminal cut and the unsplittable flow problems. We consider neither continuous multiflow nor minimum cost multiflow. Most of the results are very recent and some are new. We recall the dual relationship between both problems, give complexity results and algorithms, firstly in unrestricted graphs and secondly in several special graphs: trees, bipartite or planar graphs. A table summarizes the most important results.
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Contributor : Lucas Létocart <>
Submitted on : Thursday, July 13, 2006 - 1:04:46 PM
Last modification on : Saturday, February 15, 2020 - 1:58:46 AM
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  • HAL Id : hal-00003243, version 2


Marie-Christine Costa, Lucas Létocart, Frédéric Roupin. Multicut and integral multiflow : a survey.. European Journal of Operational Research, Elsevier, 2005, 162-1, pp.55-69. ⟨hal-00003243v2⟩



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