The almost intersection property for pairs of matroids on common groundset (Q782944)
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scientific article; zbMATH DE number 7225782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The almost intersection property for pairs of matroids on common groundset |
scientific article; zbMATH DE number 7225782 |
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The almost intersection property for pairs of matroids on common groundset (English)
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29 July 2020
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Summary: We introduce the almost intersection property for pairs of possibly infinite matroids on the same groundset. We prove that if such a pair satisfies the Almost Intersection Property then it satisfies the matroid intersection conjecture of Nash-Williams (see [\textit{R. Aharoni} and \textit{R. Ziv}, J. Lond. Math. Soc., II. Ser. 58, No. 3, 513--525 (1998; Zbl 0922.05017)]). We also present some corollaries of that result.
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matroid intersection conjecture of Nash-Williams
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packing/covering property
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