Matroids with nine elements

Details Matroids with nine elements Matroids with nine elements

2007-02-12

arxiv.org/abs/math/0702316v1

Mathematics

Combinatorics

22 pages

Scientific paper

We describe the computation of a catalogue containing all matroids with up to
nine elements, and present some fundamental data arising from this cataogue.
Our computation confirms and extends the results obtained in the 1960s by
Blackburn, Crapo and Higgs. The matroids and associated data are stored in an
online database, and we give three short examples of the use of this database.

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