Matroids with nine elements
Combinatorics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0702316,
title = {Matroids with nine elements},
author = {Dillon Mayhew and Gordon F. Royle},
journal= {arXiv preprint arXiv:math/0702316},
year = {2007}
}
Comments
22 pages