2017-06-22
Polynomial combinatorial algorithms for skew-bisubmodular function minimization
Publication
Publication
Mathematical Programming , Volume 171 p. 87- 114
Huber et al. (SIAM J Comput 43:1064–1084, 2014) introduced a concept of skew bisubmodularity, as a generalization of bisubmodularity, in their complexity dichotomy theorem for valued constraint satisfaction problems over the three-value domain, and Huber and Krokhin (SIAM J Discrete Math 28:1828–1837, 2014) showed the oracle tractability of minimization of skew-bisubmodular functions. Fujishige et al. (Discrete Optim 12:1–9, 2014) also showed a min–max theorem that characterizes the skew-bisubmodular function minimization, but devising a combinatorial polynomial algorithm for skew-bisubmodular function minimization was left open. In the present paper we give first combinatorial (weakly and strongly) polynomial algorithms for skew-bisubmodular function minimization.
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, , , , | |
doi.org/10.1007/s10107-017-1171-2 | |
Mathematical Programming | |
Organisation | Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
Fujishige, S., & Tanigawa, S.-I. (2017). Polynomial combinatorial algorithms for skew-bisubmodular function minimization. Mathematical Programming, 171, 87–114. doi:10.1007/s10107-017-1171-2 |