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arXiv · 2510.15621

On the number of sum-free subsets of the square grid

Anubhab Ghosal
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Abstract

Generalising the Cameron--Erdős conjecture to two dimensions, Elsholtz and Rackham conjectured that the number of sum-free subsets of $[n]^2$ is $2^{0.6n^2+O(n)}$. We prove their conjecture.

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Anubhab Ghosal. 2025-10-17. On the number of sum-free subsets of the square grid. https://arxiv.org/abs/2510.15621

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