 
                                                                                | Article ID: | iaor1998383 | 
| Country: | Netherlands | 
| Volume: | 76 | 
| Issue: | 2 | 
| Start Page Number: | 299 | 
| End Page Number: | 308 | 
| Publication Date: | Feb 1997 | 
| Journal: | Mathematical Programming | 
| Authors: | Iwata Satoru | 
| Keywords: | networks: flow | 
This paper presents a scaling scheme for submodular functions. A small but strictly submodular function is added before scaling so that the resulting functions should be submodular. This scaling scheme leads to a weakly polynomial algorithm to solve minimum cost integral submodular flow problems with separable convex cost functions, provided that an oracle for exchange capacities is available.