As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994). 7 i% r$ x; E7 ?# ^8 M8 J( M# F- u) ^* o F3 I# ^
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. ) m+ ^/ b% o4 x3 _. D' M: @) w6 D- }. z: e4 A& E
5 v1 [! }3 l, ~# s" e' F
不好意思,我用英文至少为了把问题说的更清楚一点