Computing edge-connectivity in multigraphs and capacitated graphs
SIAM Journal on Discrete Mathematics
Implementing an efficient minimum capacity cut algorithm
Mathematical Programming: Series A and B
Journal of the ACM (JACM)
A note on minimizing submodular functions
Information Processing Letters
A combinatorial algorithm for minimizing symmetric submodular functions
Proceedings of the sixth annual ACM-SIAM symposium on Discrete algorithms
A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
A combinatorial algorithm minimizing submodular functions in strongly polynomial time
Journal of Combinatorial Theory Series B
Speech separation by efficient combinatorial decoding of speech mixtures
ICME'09 Proceedings of the 2009 IEEE international conference on Multimedia and Expo
The complexity of valued constraint models
CP'09 Proceedings of the 15th international conference on Principles and practice of constraint programming
An algebraic characterisation of complexity for valued constraint
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
Source location in undirected and directed hypergraphs
Operations Research Letters
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In this paper we relate the minimization problems for general submodular functions and symmetric submodular functions. We characterize the contractions and restrictions of symmetric submodular functions. The latter we show to be the same as posimodular functions. Finally, we prove the equivalence of various symmetric submodular function minimization problems and the general submodular function minimization problem. We also give a preprocessing algorithm for the general submodular function minimization problem which could lead to substantial size reduction.