On Large Sum-Free Sets: Revised Bounds and Patterns

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] with the lowest value in n3,n2, and the identification of all patterns that can be used to form sum-free sets of maximum cardinality.

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Publication Details

Journal
Mathematics
Published
2024-12-10
DOI
https://doi.org/10.3390/math12243889
Primary Topic
Limits and Structures in Graph Theory
Type
article
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article

On Large Sum-Free Sets: Revised Bounds and Patterns

Renato Cordeiro de Amorim
Mathematics
Limits and Structures in Graph Theory
article

On Large Sum-Free Sets: Revised Bounds and Patterns

Renato Cordeiro de Amorim
article en

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] with the lowest value in n3,n2, and the identification of all patterns that can be used to form sum-free sets of maximum cardinality.

MathematicsVol. 12(24)
University of Essex (GB)
Openalex Percentile: Top 59%
Limits and Structures in Graph Theory
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On Large Sum-Free Sets: Revised Bounds and Patterns — Renato Cordeiro de Amorim · Mathematics (2024) | TGRS Research Map | TGRS