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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.
19
votes
Puzzle on deleting k bits from binary vectors of length 3k
This is not an answer but rather a long comment. I give an informal argument that suggests what the right answer should be. The proof of the lower bound is rigorous, the proof of the upper bound is no …