A faster strongly polynomial time algorithm for submodular function minimization

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 . This improves the previous best strongly polynomial running time by more than...

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Vydáno v:	Mathematical programming Ročník 118; číslo 2; s. 237 - 251
Hlavní autor:	Orlin, James B.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer-Verlag 01.05.2009 Springer Springer Nature B.V
Témata:	Algorithms Applied sciences Calculus of Variations and Optimal Control; Optimization Combinatorics Deadlines Exact sciences and technology Flows in networks. Combinatorial problems Full Length Paper Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Operational research and scientific management Operational research. Management science Theoretical Corner Point Distance Vector Distance Function Combinatorial Algorithm Greedy Algorithm Submodular function Function minimization Ring Polynomial method Combinatorial optimization Mathematical programming Polynomial time
ISSN:	0025-5610, 1436-4646
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