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Given a directed graph G = (V,E) with capacity c(u,v) > 0 for each edge (u,v) E and demand r(v) at each vertex v V,

Given a directed graph G = (V,E) with capacity c(u,v) > 0 for each edge (u,v) E and demand r(v) at each vertex v V, a routing of flow is a function f such that for all (u,v) E, 0 f(u,v) c(u,v), and forall vV,

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