On maximal sum-free sets in abelian groups
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Publication:2144317
DOI10.37236/10632zbMath1505.11041arXiv2108.04615OpenAlexW3188855139MaRDI QIDQ2144317
Andrew Treglown, Nathanaël Hassler
Publication date: 13 June 2022
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.04615
number of sum-free subsetsnumber of maximal sum-free subsetssize of a largest sum-free subsetsum-free
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Ramsey theory (05D10)
Cites Work
- Unnamed Item
- Quasiperfect linear binary codes with distance 4 and complete caps in projective geometry
- On sizes of complete caps in projective spaces \(\mathrm{PG}(n, q)\) and arcs in planes \(\mathrm{PG}(2, q)\)
- Bounds on the number of maximal sum-free sets
- Sum-free sets in vector spaces over \(GF(2)\)
- Small complete arcs in projective planes
- Sharp bound on the number of maximal sum-free subsets of integers
- Groups with few maximal sum-free sets
- Counting sum-free sets in abelian groups
- Sum-free sets in abelian groups
- Large sum-free sets in ternary spaces
- A Szemerédi-type regularity lemma in abelian groups, with applications
- The number of maximal sum-free subsets of integers
- Notes on Sum-Free and Related Sets
- THE CAMERON–ERDOS CONJECTURE
- The Number of Maximal Independent Sets in Triangle-Free Graphs
- Maximal sum-free sets of elements of finite groups
- On cliques in graphs