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Counting sum-free sets in abelian groups

✍ Scribed by Alon, Noga; Balogh, József; Morris, Robert; Samotij, Wojciech


Book ID
121608155
Publisher
The Hebrew University Magnes Press
Year
2013
Tongue
English
Weight
428 KB
Volume
199
Category
Article
ISSN
0021-2172

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📜 SIMILAR VOLUMES


Sum-free sets in abelian groups
✍ Vsevolod F. Lev; Tomasz Łuczak; Tomasz Schoen 📂 Article 📅 2001 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 743 KB
Counting Generalized Sum-Free Sets
✍ Neil J Calkin; Jan McDonald Thomson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 327 KB

We show that the number of subsets of [1, 2, ..., n] with no solution to x 1 +x 2 + } } } +x k = y 1 + y 2 + } } } + y l for k 4l&1 is at most c 2 %n where %=(k&l)Âk. 1998 Academic Press ## 1. Introduction A set S of positive integers is sum-free if x+ y=z has no solution in S. Similarly, a set S