Matroids without Adjoint

Bachem, Achim and Wanka, Alfred (1989) Matroids without Adjoint.
Published in: Geometriae dedicata Vol. 29 (3). pp. 311-315.

Abstract

The purpose of this note is to give an example of a rank-4 matroid which not only shows that Levi's intersection property is not a sufficient condition for the existence of an adjoint but also seems to have an interesting structure of the lattice of flats.


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Content information:
Item Type: Article
Citations: 8 (Google Scholar) | 2 (Web of Science)
Uncontrolled Keywords: lattice of flats rank-4 matroid
Subjects:
  • 05-XX Combinatorics > 05Bxx Designs and configurations > 05B35 Matroids, geometric lattices

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    Divisions: Mathematical Institute
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    Deposit Information:
    ZAIK Number: zpr86-027
    Depositing User: Archive Admin
    Date Deposited: 02 Apr 2001 00:00
    Last Modified: 09 Jan 2012 11:47
    URI: http://e-archive.informatik.uni-koeln.de/id/eprint/27