A faster strongly polynomial time algorithm for submodular function minimization

成果类型:
Article
署名作者:
Orlin, James B.
署名单位:
Massachusetts Institute of Technology (MIT)
刊物名称:
MATHEMATICAL PROGRAMMING
ISSN/ISSBN:
0025-5610
DOI:
10.1007/s10107-007-0189-2
发表日期:
2009
页码:
237-251
关键词:
摘要:
We consider the problem of minimizing a submodular function f defined on a set V with n elements. We give a combinatorial algorithm that runs in O(n(5)EO + n(6)) time, where EO is the time to evaluate f (S) for some S subset of V. This improves the previous best strongly polynomial running time by more than a factor of n. We also extend our result to ring families.