As we know, now there is efficient algorithms to find the overall min-cut in a directed graph, e.g. Hao and Orlin (1994). F# m# p2 g" G( z8 q3 d5 s6 Z# }, y1 F4 v) @+ ^3 G* Y7 [3 M2 }
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. % O7 }+ [1 P9 d/ ~) G% G2 h$ y) r {, Z* ^0 C
! G4 w, B- V: ~' X7 J. B+ q不好意思,我用英文至少为了把问题说的更清楚一点