The limiting density of the largest sum-free subset of {1,2,…,n}^d is achieved by two appropriate hyperplane slices for every dimension d.
Euler-frobenius numbers and rounding.Online Journal of Analytic Combina- torics, 8(8):1–34, 2013
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On the largest sum-free subset of the lattice cube
The limiting density of the largest sum-free subset of {1,2,…,n}^d is achieved by two appropriate hyperplane slices for every dimension d.