On submodular function minimization
Combinatorica
Greedy algorithm and symmetric matroids
Mathematical Programming: Series A and B
Directed submodularity, ditroids and directed submodular flows
Mathematical Programming: Series A and B
Discrete Mathematics
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
The membership problem in jump systems
Journal of Combinatorial Theory Series B - Special issue: dedicated to Professor W. T. Tutte on the occasion of his eightieth birthday
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)
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This paper presents the first combinatorial, polynomial-time algorithm for minimizing bisubmodular functions, extending the scaling algorithm for submodular function minimization due to Iwata, Fleischer, and Fujishige. A bisubmodular function arises as a rank function of a delta-matroid. The scaling algorithm naturally leads to the first combinatorial polynomial-time algorithm for testing membership in delta-matroid polyhedra. Unlike the case of matroid polyhedra, it remains open to develop a combinatorial strongly polynomial algorithm for this problem.