# 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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Content information:

Item Type: | Paper (Technical Report) |
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Citations: |
No citation data. |

Uncontrolled Keywords: | incidence vectors lattice of intersection partition matroids |

Subjects: | |

Divisions: | Mathematical Institute |

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Deposit Information:

ZAIK Number: | zpr88-058 |
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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 |