Strongly polynomial and fully combinatorial algorithms for bisubmodular function minimization
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
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Journal of Combinatorial Theory Series B
Submodularity on a tree: unifying L-convex and bisubmodular functions
MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
Generalized roof duality and bisubmodular functions
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Discrete Applied Mathematics
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ISCO'12 Proceedings of the Second international conference on Combinatorial Optimization
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This paper presents the first combinatorial polynomial algorithm for minimizing bisubmodular functions, extending the scaling algorithm for submodular function minimization due to Iwata, Fleischer, and Fujishige. Since the rank functions of delta-matroids are bisubmodular, the scaling algorithm naturally leads to the first combinatorial polynomial algorithm for testing membership in delta-matroid polyhedra.