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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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Minimum real number for subset sum difference

Given a positive integer $n$, what is the minimum positive real number $b(n)$ such that for any $a_1,\ldots,a_n\in[0,1]$, some two subset sums differ by at most $b(n)$? This is similar to subset sum …
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