English

On large sum-free sets: revised bounds and patterns

Combinatorics 2023-10-05 v2

Abstract

In this paper we rectify two previous results found in the literature. Our work leads to a new upper bound for the largest sum-free subset of [1,n][1,n] with lowest value in [n3,n2]\left [\frac{n}{3},\frac{n}{2}\right ], and the identification of all patterns that can be used to form sum-free sets of maximum cardinality.

Keywords

Cite

@article{arxiv.2308.00843,
  title  = {On large sum-free sets: revised bounds and patterns},
  author = {Renato Cordeiro de Amorim},
  journal= {arXiv preprint arXiv:2308.00843},
  year   = {2023}
}
R2 v1 2026-06-28T11:45:59.566Z