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On Large Sum-Free Sets: Revised Bounds and Patterns

Author

Listed:
  • Renato Cordeiro de Amorim

    (School of Computer Science and Electronic Engineering, University of Essex, Colchester CO4 3SQ, UK)

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 n 3 , n 2 , and the identification of all patterns that can be used to form sum-free sets of maximum cardinality.

Suggested Citation

  • Renato Cordeiro de Amorim, 2024. "On Large Sum-Free Sets: Revised Bounds and Patterns," Mathematics, MDPI, vol. 12(24), pages 1-5, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:24:p:3889-:d:1540688
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