Characterization of transversal matroids
نویسنده
چکیده
Matroids are discrete structures that capture independence under many different flavours. Our focus here is split between affine independence and transversal set theory. It was proved by Edmonds and Fulkerson in 1965 that the set of partial transversals of a set system are the independent sets of a matroid. A first attractive feature of these matroids (thus called transversal matroids) is that they are precisely those that have an affine representation consisting in points placed freely on the faces of a simplex.
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