A given subset A of natural numbers is said to be complete if every element of is the sum of distinct terms taken from A. This topic is strongly connected to the knapsack problem which is known to be NP complete. The main goal of the paper is to study the structure of subset sums in a higher dimension. We show 'dense' sets and generalized arithmetic progrssions in subset sums of certain sets.
No takes yet. Share an insight, caveat, or question.
Hegyvári et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: