Tight RNC approximations to Max Flow
We show here that the general Maximum Flow problem can be approximated by a RNC algorithm in such a way that for any fixed (or at most polynomially bounded) ε, the absolute performance ratio is at most 1+1/ε. Our results furthermore imply that there is a fully NC approximation scheme for the Maximum Flow problem if and only if there is an algorithm in NC to construct a Maximum Matching in a bipartite graph.
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