As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994)./ Q# h- l# G$ L: ~! ^9 ~
- Z; q! O9 r) qNow 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. # q9 X) v Q: G/ s" L; v' [ / J( w3 W" k/ Z$ A% N' }3 y$ z' N! v9 u
不好意思,我用英文至少为了把问题说的更清楚一点