Matroids with many common bases. (Q1406555)
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scientific article; zbMATH DE number 1974992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matroids with many common bases. |
scientific article; zbMATH DE number 1974992 |
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Matroids with many common bases. (English)
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4 September 2003
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The notion of ``vertical \(k\)-connectivity'' of matroids, due to Oxley, is utilized to formulate a strengthened version of a previous theorem of the author's. This new statement is proven: If the symmetric difference of the collections of bases of two matroids has at most \(k\) elements, then, except in certain simply-described cases, it is possible to relax circuit-hyperplanes of the two matroids, at most \(k\) in total, to obtain a common matroid.
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matroid
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vertically \(k\)-connected
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relaxing hyperplanes
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0.8941742
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0.87556404
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0.87496394
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0.86985993
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