A **free matroid** is a specific type of combinatorial structure that can be defined in the context of matroid theory. Matroids are abstract structures that generalize the notion of linear independence in vector spaces. They consist of a set and a collection of subsets (called independent sets) that satisfy certain axioms. In the case of free matroids, the concept is quite simple: - A free matroid is defined on a finite set where every subset of the set is considered independent.
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