As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994). 3 M, z) G! M+ ?( x. v. n! v! A) [9 N- G% i- y6 _, Q
Now my problem is to find an overall min-cut just separating some given node pairs, not all the node pairs. For example, I have an 8-node digraph with capacities on each arc and want to find the overall min-cut separating some node pairs such as 8 and 1, 6 and 3, 7 and 1. The algorithm of Hao and Orlin (1994) cannot solve my problem. 4 t0 e$ T7 K+ B, N( o: _1 J. Y+ f d, a6 t' y
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不好意思,我用英文至少为了把问题说的更清楚一点