The Lattice of the Intersection of two Partition Matroids

Rieder, Jörg (1988) The Lattice of the Intersection of two Partition Matroids.
Technical Report , 9 p.

Abstract

We determine the lattice in R |E| generated by the incidence vectors corresponding to the bases of the intersection of two partition matroids P and Q on the same finite set E. We give a basis of the lattice and show that - if a rank condition is satisfied - the lattice of the intersection is the same as the intersection of the two lattices generated by the incidence vectors of the bases of P and Q, respectively.


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Item Type: Paper (Technical Report)
Citations: No citation data.
Uncontrolled Keywords: incidence vectors lattice of intersection partition matroids
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Divisions: Mathematical Institute
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    Deposit Information:
    ZAIK Number: zpr88-058
    Depositing User: Archive Admin
    Date Deposited: 02 Apr 2001 00:00
    Last Modified: 24 Nov 2011 16:15
    URI: http://e-archive.informatik.uni-koeln.de/id/eprint/58