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Vertex Sparsifiers: New Results from Old Techniques
2014
SIAM journal on computing (Print)
Given a capacitated graph G = (V,E) and a set of terminals K ⊆ V, how should we produce a graph H only on the terminals K so that every (multicommodity) flow between the terminals in G could be supported in H with low congestion, and vice versa? (Such a graph H is called a flow-sparsifier for G.) What if we want H to be a "simple" graph? What if we allow H to be a convex combination of simple graphs? Improving on results of Moitra [FOCS 2009] and Leighton and Moitra [STOC 2010], we give
doi:10.1137/130908440
fatcat:p5ykt26u2fhvzb3ryge6llj6pm