Sum-Free Sets and Related Sets


of integers is sum-free if . Cameron conjectured that the number of sum-free sets is . As a step towards this conjecture, we prove that the number of sets satisfying

is .

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Received: 22 July, 1996

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Bilu, Y. Sum-Free Sets and Related Sets. Combinatorica 18, 449–459 (1998).

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  • AMS Subject Classification (1991) Classes:  11B75, 11B25, 11P99, 11D04