An extreme point theorem for ordered polymatroids on chain orders (Q1380702)
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scientific article; zbMATH DE number 1127111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extreme point theorem for ordered polymatroids on chain orders |
scientific article; zbMATH DE number 1127111 |
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An extreme point theorem for ordered polymatroids on chain orders (English)
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12 March 1998
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We consider ordered polymatroids as a generalization of polymatroids and extend the extreme point characterization of polymatroids by the greedy algorithm to the ordered case. It is proved that a feasible point of an ordered polymatroid is a vertex iff it is a greedy-vector with respect to an appropriate primal greedy-procedure.
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ordered polymatroids
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extreme point characterization
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greedy algorithm
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