✦ LIBER ✦

Matroids without adjoint

✍ Scribed by Achim Bachem; Alfred Wanka

Book ID: 104814338
Publisher: Springer
Year: 1989
Tongue: English
Weight: 211 KB
Volume: 29
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00572447

No coin nor oath required. For personal study only.

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We give an example of a simple oriented matroid D that admits an oriented adjoint. Furthermore, any adjoint of the underlying matroid D, does not itself admit an adjoint. D arises from the well-known non-Desargues matroid by a coextension by a coparallel element and, hence, has rank 4. The orientabi