Title
Matroids with nine elements
Abstract
We describe the computation of a catalogue containing all matroids with up to nine elements, and present some fundamental data arising from this catalogue. 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 on-line database, and we give three short examples of the use of this database.
Year
DOI
Venue
2008
10.1016/j.jctb.2007.07.005
J. Comb. Theory, Ser. B
Keywords
Field
DocType
orderly algorithm,matroid,extension,fundamental data,combinatorial geometry,on-line database,short example
Discrete geometry,Matroid,Discrete mathematics,Combinatorics,Higgs boson,Graphic matroid,Mathematics,Computation
Journal
Volume
Issue
ISSN
98
2
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
12
0.83
4
Authors
2
Name
Order
Citations
PageRank
Dillon Mayhew110218.63
Gordon F. Royle215929.85