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JCT
2006
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14 years 15 days ago
The Bergman complex of a matroid and phylogenetic trees
We study the Bergman complex B(M) of a matroid M: a polyhedral complex which arises in algebraic geometry, but which we describe purely combinatorially. We prove that a natural su...
Federico Ardila, Caroline J. Klivans
EJC
2006
14 years 16 days ago
The positive Bergman complex of an oriented matroid
We study the positive Bergman complex B+ (M) of an oriented matroid M, which is a certain subcomplex of the Bergman complex B(M) of the underlying unoriented matroid M. The positiv...
Federico Ardila, Caroline J. Klivans, Lauren Willi...