As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994).# t* F, f" v. {3 `
! W* E6 S6 \6 @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. * v" }" [2 T1 t; O5 k% p8 z' ?2 d/ z c8 }4 W: a0 P6 [9 g
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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