As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994).. p& @: A; z3 A
# R$ v. e7 U/ Z% X& @( H4 c4 v
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. # I* b9 s. u! i6 X3 Z) J * Y8 w/ l$ C, P! V& @8 n1 t- a 6 p7 E" e9 {# h4 @4 U$ F不好意思,我用英文至少为了把问题说的更清楚一点