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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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Minimally intersecting subsets of fixed size

maybe you would be interested in the "Minimal Overlapping Algorithm" presented in "Two New Combinatorial Problems involving Dominating Sets for Lottery Schemes - Werner R Grundlingh" (at page 155): T …
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