Vertex sparsifiers: New results from old techniques (and some open questions)
- đ¤ Speaker: Krauthgamer, R (Weizmann Institute of Science)
- đ Date & Time: Monday 10 January 2011, 11:30 - 12:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
Given a capacitated graph G = (V,E) and a set of terminals $K ubseteq V$, 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? And is the question easier if we wanted H to maintain the distances among the terminals (rather than flows)?
Joint work with Matthias Englert, Anupam Gupta, Robert Krauthgamer, Harald Raecke, Inbal Talgam-Cohen and Kunal Talwar.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Monday 10 January 2011, 11:30-12:30