An Algorithm For The Maximum Balanced Flow Problem
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概要
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We consider the maximum balanced flow problem, which is a maximum flow problem with an additional constraint described in terms of a balancing rate function. In the present paper, we propose an algorithm for the maximum balanced flow problem by employing the binary search and a parametric method. Our algorithm requires O ((?ogM2M) T(n, m)) time, where T(n, m) is the time for the maximum flow computation for a two terminal network with n vertices and m arcs, and M is the maximum flow value of the maximum flow problem without the additional constraint (i.e., usual maximum flow problem), and ?ogMis the maximum integer less than or equal to logM.
- 小樽商科大学の論文
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