On Sticky Matroids
Bachem, Achim and Kern, Walter
(1988)
On Sticky Matroids.
Published in:
Discrete mathematics Vol. 69 (1).
pp. 11-18.
Abstract
The ''sticky conjecture'' states that a geometric lattice is modular if and only if any two of its extensions can be ''glued together''. It is known to be true as far as rank 3 geometries are concerned. In this paper we show that it is sufficient to consider a very restricted class of rank 4 geometries in order to settle the question. As a corollary we get a characterization of uniform sticky matroids, which has been found by Poljak and Turzik [Amalgamation over uniform matroids, Czech. Math. Journal 34, 109 (1984)].
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Content information:
| Item Type: | Article |
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| Citations: | 5 (Google Scholar) | 1 (Web of Science) |
| Uncontrolled Keywords: | sticky geometric lattices sticky uniform matroids |
| Subjects: |
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| Divisions: | Mathematical Institute |
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Deposit Information:
| ZAIK Number: | zpr85-018 |
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| Depositing User: | Archive Admin |
| Date Deposited: | 02 Apr 2001 00:00 |
| Last Modified: | 24 Oct 2011 15:09 |
| URI: | http://e-archive.informatik.uni-koeln.de/id/eprint/18 |
