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Approximating Sparsest Cut in Low-Treewidth Graphs via Combinatorial Diameter

Approximating Sparsest Cut in Low-Treewidth Graphs via Combinatorial Diameter

The fundamental Sparsest Cut problem takes as input a graph G together with edge capacities and demands, and seeks a cut that minimizes the ratio between the capacities and demands across the cuts. For n -vertex graphs G of treewidth k , Chlamtáč, Krauthgamer, and Raghavendra (APPROX 2010) presented an …