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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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Generating all possible subsets in order of sum
Given a set of positive integers, I am looking for method to algorithmically generate all possible subsets in order of their sum. Because the the count of possible subsets is exponential ($2^n$), it i …