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An exchange property of matroid

✍ Scribed by Wendy Chan

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
170 KB
Volume
146
Category
Article
ISSN
0012-365X

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✦ Synopsis

Rota's conjecture about n bases in a rank n matroid is solved for n = 3.

πŸ“œ SIMILAR VOLUMES

On basis-exchange properties for matroid
On basis-exchange properties for matroids
✍ Joseph E. Bonin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 190 KB

We give a counterexample to a conjecture by Wild about binary matroids. We connect two equivalent lines of research in matroid theory: a simple type of basis-exchange property and restrictions on the cardinalities of intersections of circuits and cocircuits. Finally, we characterize direct sums of s