A Refinement of the Cameron-erdős Conjecture

Abstract

In this paper we study sum-free subsets of the set {1, . . . , n}, that is, subsets of the first n positive integers which contain no solution to the equation x+ y = z. Cameron and Erdős conjectured in 1990 that the number of such sets is O(2). This conjecture was confirmed by Green and, independently, by Sapozhenko. Here we prove a refined version of their… (More)

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