On a Unimodality Conjecture in Matroid Theory
A certain unimodal conjecture in matroid theory states the number of rank-r matroids on a set of size n is unimodal in r and attains its maximum at r=\lfloor n/2 \rfloor . We show that this conjecture holds up to r=3 by constructing a map from a class of rank-2 matroids into the class of loopless ra...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2002-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/307/pdf |