Journal of Integer Sequences, Vol. 13 (2010), Article 10.8.3

An Improved Upper Bound for the Sum-free Subset Constant


Mark Lewko
Department of Mathematics
University of Texas at Austin
USA

Abstract:

We show that the optimal constant in Erdős' sum-free subset theorem cannot be larger than 11/28 ≈ .393.

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Received March 21 2010; revised version received July 22 2010. Published in Journal of Integer Sequences, August 2 2010.

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