As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994).2 D2 G/ o0 T& V4 r! S
$ }* ^' s2 T+ p# r2 E" I5 W" rNow 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. Q" }0 k) Q" j) M' G, Q4 r* b6 P3 _/ A* D: b9 R& w0 x5 s
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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