Transversals of circuits and acyclic orientations in graphs and matroids (Q793043)
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scientific article; zbMATH DE number 3855135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transversals of circuits and acyclic orientations in graphs and matroids |
scientific article; zbMATH DE number 3855135 |
Statements
Transversals of circuits and acyclic orientations in graphs and matroids (English)
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1984
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In a loopless oriented matroid M, if \(A\subseteq M\) is minimal meeting every positive circuit, then \(_{\bar A}M\) (got by sign-reversing the elements of A) is acyclic. This generalizes known results for the cycle and cocycle matroids of a digraph.
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signed circuits
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oriented matroid
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cycle matroids
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