A Characterization of Uniform Matroids
Brahim Chaourar · ISRN Algebra · 2011
This paper gives a characterization of uniform matroids by means of locked subsets. Locked subsets are 2-connected subsets, their complements are 2-connected in the dual, and the minimum rank of both is 2. Locked subsets give the nontrivial facets of the bases polytope.