We propose the MIN-MAX MULTIWAY CUT problem, a variant of the traditional MULTIWAY CUT problem, but with the goal of minimizing the maximum capacity (rather than the sum or average capacity) leaving a part of the partition. The problem is motivated by data partitioning in Peer-to-Peer networks. The min-max objective function forces the solution not to overload any given terminal, and hence may lead to better solution quality. We prove that the MIN-MAX MULTIWAY CUT is NP-hard even on trees, or with only a constant number of terminals. Our main result is an O(log3 n)-approximation algorithm for general graphs, and an O(log2 n)-approximation for graphs excluding any fixed graph as a minor (e.g., planar graphs). We also give a (2 + ε)-approximation algorithm for the special case of graphs with bounded treewidth. © Springer-Verlag 2004.
CITATION STYLE
Svitkina, Z., & Tardos, É. (2004). Min-max multiway cut. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3122, 207–218. https://doi.org/10.1007/978-3-540-27821-4_19
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