Landau's and Rado's theorems and partial tournaments (Q1010893)
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scientific article; zbMATH DE number 5541058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Landau's and Rado's theorems and partial tournaments |
scientific article; zbMATH DE number 5541058 |
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Landau's and Rado's theorems and partial tournaments (English)
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7 April 2009
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Summary: Using Rado's theorem for the existence of an independent transversal of family of subsets of a set on which a matroid is defined, we give a proof of Landau's theorem for the existence of a tournament with a prescribed degree sequence. A similar approach is used to determine when a partial tournament can be extended to a tournament with a prescribed degree sequence.
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rado' theorem
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independent transversal
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family of subsets
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matroid
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Landau's theorem
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tournament
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prescribed degree sequence
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subtournament
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