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Questions related to the field of Combinatorics called Matroid Theory. Relevant topics include matroids in Combinatorial Optimization, Lattice Theory, Algebraic Geometry, Polyhedral Theory, Rigidity, and Algorithms. For questions about Oriented Matroids, the oriented-matroids tag may be used.
1
vote
Presentation of the Rybnikov matroid
Since this is still open, I'll describe how to find an answer.
You have a presentation of the matroid as an arrangement of hyperplanes. Now trace through the 'cryptomorphisms' described in the Wikip …
10
votes
matroids axioms and independence system
An independence system has gone under a lot of other names. The most used of such is an abstract simplicial complex. As the name implies, these are very important in topology, and in combinatorics c …