As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994).+ E- ]/ G: `# W0 S2 R0 ], [- Z. f
6 \/ Y h% ]; f) m8 ^8 |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. ; e' I3 @! J, ]. B8 O % k: ?& W# t- n0 d . w5 f( H' ^2 e* }0 D不好意思,我用英文至少为了把问题说的更清楚一点