The lattices of matroid bases and exact matroid bases

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1991 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 56, pages 616-623 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Rieder, J.;

doi: 10.1007/bf01246778

The lattices of matroid bases and exact matroid bases

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Abstract

Combinatorial objects are often associated with the polytope generated by the incidence vectors of the objects. The lattice of these incidence vectors is the set of all of their integer combinations. Such lattices are described if the objects are the bases of a matroid on \(E\), or only those bases which contain exactly \(p\) elements of a given subset \(R\subseteq E\).

Related Organizations

University of Cologne
Germany

Keywords

matroid bases, Combinatorial aspects of matroids and geometric lattices

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