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math.CO 1

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2026 1

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UNVERDICTED 1

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An improved double-exponential lower bound for $r_4(5,n)$

math.CO · 2026-05-04 · unverdicted · novelty 4.0

The paper establishes the improved lower bound r_4(5,n) >= 2^{2^{Omega(n^{1/5})}} for the 4-uniform 5-clique Ramsey number by reducing greedy local-maxima selection from seven layers to five in a modified construction.

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  • An improved double-exponential lower bound for $r_4(5,n)$ math.CO · 2026-05-04 · unverdicted · none · ref 14

    The paper establishes the improved lower bound r_4(5,n) >= 2^{2^{Omega(n^{1/5})}} for the 4-uniform 5-clique Ramsey number by reducing greedy local-maxima selection from seven layers to five in a modified construction.