Directed submodularity, ditroids and directed submodular flows
Mathematical Programming: Series A and B
Discrete Mathematics
On totally dual integral systems
Discrete Applied Mathematics
Journal of Combinatorial Theory Series A
A separation algorithm for the matchable set polytope
Mathematical Programming: Series A and B
Delta-Matroids, Jump Systems, and Bisubmodular Polyhedra
SIAM Journal on Discrete Mathematics
On structures of bisubmodular polyhedra
Mathematical Programming: Series A and B
A Min--Max Theorem for Bisubmodular Polyhedra
SIAM Journal on Discrete Mathematics
Mathematical Programming: Series A and B
A combinatorial algorithm minimizing submodular functions in strongly polynomial time
Journal of Combinatorial Theory Series B
A combinatorial strongly polynomial algorithm for minimizing submodular functions
Journal of the ACM (JACM)
A fully combinatorial algorithm for submodular function minimization
Journal of Combinatorial Theory Series B
Bisubmodular Function Minimization
SIAM Journal on Discrete Mathematics
A polynomial algorithm for weighted abstract flow
IPCO'08 Proceedings of the 13th international conference on Integer programming and combinatorial optimization
Hi-index | 0.00 |
Bisubmodular functions are a natural "directed", or "signed", extension of submodular functions with several applications. Recently Fujishige and Iwata showed how to extend the Iwata, Fleischer, and Fujishige (IFF) algorithm for submodular function minimization (SFM) to bisubmodular function minimization (BSFM). However, they were able to extend only the weakly polynomial version of IFF to BSFM. Here we investigate the difficulty that prevented them from also extending the strongly polynomial version of IFF to BSFM, and we show a way around the difficulty. This new method gives the first combinatorial strongly polynomial algorithm for BSFM. This further leads to extending Iwata's fully combinatorial version of IFF to BSFM.