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Approximating Sparsest Cut in Graphs of Bounded Treewidth
Conference paper   Peer reviewed

Approximating Sparsest Cut in Graphs of Bounded Treewidth

Eden Chlamtac, Robert Krauthgamer and Prasad Raghavendra
Approximation, Randomization, And Combinatorial Optimization: Algorithms And Techniques, Vol.6302, pp.124-137
13th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX 2010)/14th International Workshop on Randomization and Computation (RANDOM 2010) (Barcelona, SPAIN, 01/Sep/2010 - 03/Sep/2010)
2010

Abstract

We give the first constant-factor approximation algorithm for Sparsest-Cut with general demands in bounded treewidth graphs. In contrast to previous algorithms, which rely on the flow-cut gap and/or metric embeddings, our approach exploits the Sherali-Adams hierarchy of linear programming relaxations.

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