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Sum-Free Sets and Related Sets

✍ Scribed by Yuri Bilu

Publisher: Springer-Verlag
Year: 1998
Tongue: English
Weight: 189 KB
Volume: 18
Category: Article
ISSN: 0209-9683
DOI: 10.1007/s004930050032

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📜 SIMILAR VOLUMES

Sum-free sets and Ramsey numbers

✍ D. Hanson 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 451 KB

in this note we obtain new tower bounds for the Ramsey numbers R(5,S) and R(5,6). The methrld is based on computational results of partitioning the integers into sum-free sets. WC obtain R(S, 5) > 42 and R(5,6) 2 53.

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

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✍ Tomasz Schoen 📂 Article 📅 2010 🏛 Springer 🌐 English ⚖ 145 KB

On Sum Sets of Sidon Sets, 1.

✍ P. Erdos; A. Sarkozy; T. Sos 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 452 KB

On Infinite Sum-free Sets of Natural Num

On Infinite Sum-free Sets of Natural Numbers

✍ Tomasz łuczak; Tomasz Schoen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 346 KB

A subset of the natural numbers is k-sum-free if it contains no solutions of the equation x 1 + } } } +x k = y, and strongly k-sum-free when it is l-sum-free for every l=2, ..., k. It is shown that every k-sum-free set with upper density larger than 1Â(k+1) is a subset of a periodic k-sum-free set a

On sum-intersective sets

✍ A. Balog 📂 Article 📅 1990 🏛 Akadmiai Kiad 🌐 English ⚖ 267 KB