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About a generalization of transversals. (English) Zbl 0806.05064

A classical result of Rado gives a necessary and sufficient condition for a finite family of sets to possess a transversal which is an independent set in a matroid. On the other hand it was proved that partial transversals of a finite family of sets form a matroid. These results have been generalized in many different ways. A further one is given in the paper under review.

MSC:

05D15 Transversal (matching) theory
05B35 Combinatorial aspects of matroids and geometric lattices
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