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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-07-14 and was most recently seen on 2026-07-14.
In mathematics, a partition matroid or partitional matroid is a matroid that is a direct sum of uniform matroids. It is defined over a base set in which the elements are partitioned into different categories. For each category, there is a capacity constraint - a maximum number of allowed elements from this category. The independent sets of a partition matroid are exactly the sets in which, for each category, the number of elements from this category is at most the category capacity.
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