CS 359 G : Graph Partitioning and Expanders Handout 8

نویسنده

  • Luca Trevisan
چکیده

In which we introduce the Leighton-Rao relaxation of sparsest cut. Let G = (V, E) be an undirected graph. Unlike past lectures, we will not need to assume that G is regular. We are interested in finding a sparsest cut in G, where the sparsity of a non-trivial bipartition (S, V − S) of the vertices is which is the ratio between the fraction of edges that are cut by (S, V − S) and the fraction of pairs of vertices that are disconnected by the removal of those edges.

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تاریخ انتشار 2011