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A General Framework for Graph Sparsification

A General Framework for Graph Sparsification

We present a general framework for constructing cut sparsifiers in undirected graphs---weighted subgraphs for which every cut has the same weight as the original graph, up to a multiplicative factor of $(1 \pm \epsilon)$. Using this framework, we simplify, unify, and improve upon previous sparsification results. As simple instantiations of …