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


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

Full version:  pdf,    dvi,    ps,    latex    

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

Return to Journal of Integer Sequences home page