A structural approach to subset-sum problems
Van Vu
TL;DR
This paper explores a structural methodology based on Freiman-type theorems to analyze subset-sum problems, with implications across number theory, combinatorics, and physics.
Contribution
It introduces a structural approach utilizing Freiman-type theorems to advance understanding of subset-sum problems in additive combinatorics.
Findings
Development of Freiman-type structural theorems
Applications to number theory and combinatorics
Potential implications for mathematical physics
Abstract
We discuss a structural approach to subset-sum problems in additive combinatorics. The core of this approach are Freiman-type structural theorems, many of which will be presented through the paper. These results have applications in various areas, such as number theory, combinatorics and mathematical physics.
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Taxonomy
TopicsLimits and Structures in Graph Theory