Question: Let (A, B) be a cut1 in an undirected graph G = (V, E). Let E(A, B) = {{u, v} E |u A, v B},

Let (A, B) be a cut1 in an undirected graph G = (V, E). Let E(A, B) = {{u, v} E |u A, v B}, be the set of edges in G with one endpoint in A and one endpoint in B. The edge density of the cut (A, B) is defined as (A, B) := |E(A, B)| |{(u, v)|u A, v B}| = |E(A, B)| |A||B| . We wish to estimate the smallest density of a cut in G. Let G be the minimum of (A, B) over all cuts (A, B). Prove that opt(LP) G

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