Cameron–Erdős conjecture

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The Cameron-Erdős conjecture in the field of combinatorics is the statement that the number of sum-free sets contained in $\{1,\ldots ,N\}$ is $O\left({2^{N/2}}\right)$ .

The conjecture was stated by Peter Cameron and Paul Erdős in 1988^[1]. It was proved by Ben Green in 2003^[2] ^[3].

References

↑ P.J. Cameron and P. Erdős, On the number of sets of integers with various properties, Number theory (Banff, 1988), de Gruyter, Berlin 1990, pp.61-79
↑ B. Green, The Cameron-Erdős conjecture, 2003.
↑ B. Green, The Cameron-Erdős conjecture, Bulletin of the London Mathematical Society 36 (2004) pp.769-778

[1] P.J. Cameron and P. Erdős, On the number of sets of integers with various properties, Number theory (Banff, 1988), de Gruyter, Berlin 1990, pp.61-79

[2] B. Green, The Cameron-Erdős conjecture, 2003.

[3] B. Green, The Cameron-Erdős conjecture, Bulletin of the London Mathematical Society 36 (2004) pp.769-778

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Cameron–Erdős conjecture

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