LP duality in infinite hypergraphs (Q803165)
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scientific article; zbMATH DE number 4200252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | LP duality in infinite hypergraphs |
scientific article; zbMATH DE number 4200252 |
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LP duality in infinite hypergraphs (English)
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1990
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A hypergraph has the strong duality property if it has a fractional matching and a fractional cover satisfying the complementary slackness conditions of linear programming. The authors prove that all graphs satisfy the strong duality property; then, they consider the duality property for families of intervals on the real line and obtain an extension of Gallai's theorem.
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strong duality property
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fractional matching
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fractional cover
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complementary slackness conditions of linear programming
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Gallai's theorem
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