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In mathematics, a base-orderable matroid is a matroid that has the following additional property, related to the bases of the matroid. For any two bases and there exists a feasible exchange bijection, defined as a bijection from to , such that for every , both and are bases. The property was introduced by Brualdi and Scrimger. A strongly-base-orderable matroid has the following stronger property: For any two bases and , there is a strong feasible exchange bijection, defined as a bijection from to , such that for every , both and are bases.
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