On binary identically self-dual matroids (Q790819)
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scientific article; zbMATH DE number 3849247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On binary identically self-dual matroids |
scientific article; zbMATH DE number 3849247 |
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On binary identically self-dual matroids (English)
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1984
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A matroid is identically self-dual when its set of bases is identical with its set of co-bases. The author proves that the only connected regular identically self-dual matroid is the uniform matroid of rank 1 on two points. He improves the known lower bound for the number of bases in an identically self-dual matroid. Also, new, simpler, more elegant proofs are given for some known results concerning binary identically self-dual matroids.
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identically self-dual matroid
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uniform matroid
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