Upper bounds for multicolour ramsey numbers, 2024

Paul Balister, Béla Bollobás, Marcelo Campos, Simon Griffiths, Eoin Hurley, Robert Morris, Julian Sahasrabudhe, Marius Tiba · 2024

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math.CO · 2025-08-31 · unverdicted · novelty 8.0

Any bijection f on {-1,1}^n satisfies Pr[<x,y> >=0 and <f(x),f(y)>=0] >= 1/4 - O(1/sqrt(n)).

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Sharp Inner Product Correlations for Hypercube Bijections math.CO · 2025-08-31 · unverdicted · none · ref 1
Any bijection f on {-1,1}^n satisfies Pr[<x,y> >=0 and <f(x),f(y)>=0] >= 1/4 - O(1/sqrt(n)).