On the μ-colorings of a matroid
J.A. Dias da Silva · Linear and Multilinear Algebra · 1990
Let Mbe a matroid on S. Let μ = (μ1,⋯, μK) be a partition of ∣S∣ (:∣ ∣ denotes cardinality). We state a necessary and sufficient condition for the existence of pairwise disjoint independent sets of M I 1, [cddot]I 1, satisfying the following conditions. We use this result to restate a theorem of CGamas [2], giving necessary and sufficient conditions for nonvanishing of decomposable symmetrized tensors.