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Consider an n-vertex, m-edge, undirected graph with maximum,flow value v. We give a method,to find augmenting paths in such a graph in amortized sub-linear O n,v,time per path. This lets us improve the time bound,of the classic augmenting,path algorithm to O m,nv, 5 , which is also the best known time bound for bipartite matching.

Finding maximum flows in undirected graphs seems easier than bipartite matching