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Discrete Applied Mathematics
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Discrete Applied Mathematics
Article . 2001
License: Elsevier Non-Commercial
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Discrete Applied Mathematics
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A strongly polynomial time algorithm for a constrained submodular optimization problem

Authors: David Hartvigsen;

A strongly polynomial time algorithm for a constrained submodular optimization problem

Abstract

The author [Math. Oper. Res. 23, No. 3, 661--679 (1998; Zbl 0977.90073)] presented a weakly polynomial time algorithm for the problem of optimizing over the intersection of a submodular base polyhedron and an affine space (when the number of constraints describing the affine space is bounded). This paper contains a strongly polynomial time algorithm for this problem.

Keywords

Combinatorial optimization, Analysis of algorithms and problem complexity, Applied Mathematics, Programming involving graphs or networks, Max flow, Min cost spanning tree, Base polyhedron, Discrete Mathematics and Combinatorics, Submodular function, Abstract computational complexity for mathematical programming problems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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