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On the structures of subset sets in higher dimension
- Publication Year :
- 2024
-
Abstract
- A given subset $A$ of natural numbers is said to be complete if every element of $\N$ 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.<br />Comment: 21 pages, comments are welcome
- Subjects :
- Mathematics - Combinatorics
Mathematics - Number Theory
11B75
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.02269
- Document Type :
- Working Paper