A Note on the Lattice of 2-Matroid-Intersections
Hochstättler, Winfried and Rieder, Jörg
(1991)
A Note on the Lattice of 2-Matroid-Intersections.
Published in:
Archiv der Mathematik : ADM Vol. 57 (5).
pp. 514-517.
Abstract
By considering a matroid generalization of the graphic matroid on the K4 it is shown that in general the lattice generated by the common bases of a matroid M and a partition matroid Q (which satisfy a rank-condition) is not the intersection of the two lattices associated with the bases of M and Q, respectively. (Which is true for the intersection of two partition-matroids and that of an arbitrary matroid with a bipartition matroid.)
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Content information:
| Item Type: | Article |
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| Citations: | 2 (Google Scholar) | 1 (Web of Science) |
| Uncontrolled Keywords: | matroid-intersection point lattice |
| Subjects: |
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| Divisions: | Mathematical Institute |
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Deposit Information:
| ZAIK Number: | zpr90-084 |
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| Depositing User: | Winfried Hochstättler |
| Date Deposited: | 02 Apr 2001 00:00 |
| Last Modified: | 09 Jan 2012 11:56 |
| URI: | http://e-archive.informatik.uni-koeln.de/id/eprint/84 |
