A matroid generalization of a result of Dirac (Q1382409)
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scientific article; zbMATH DE number 1134663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A matroid generalization of a result of Dirac |
scientific article; zbMATH DE number 1134663 |
Statements
A matroid generalization of a result of Dirac (English)
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26 March 1998
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Let \(a\) and \(b\) be two distinct elements and \(C^*\) a cocircuit in a \(3\)-connected matroid. The author proves that there is a circuit in the matroid that contains \(a\) and \(b\) and meets \(C^*\), and that this condition, although its converse is false, can also be used to characterize \(3\)-connected matroids.
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matroids
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