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· 2025 · arXiv 2507.22831

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math.CO 1

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2026 1

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Ramsey-Tur\'{a}n theory for partially-ordered sets

math.CO · 2026-05-29 · unverdicted · novelty 7.0

Introduces weak and strong poset Ramsey-Turán numbers for t-chains in the Boolean lattice and proves equality to (k-1)(l-1) for chains when t=1 plus Theta(n^t) growth for non-chains.

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  • Ramsey-Tur\'{a}n theory for partially-ordered sets math.CO · 2026-05-29 · unverdicted · none · ref 9

    Introduces weak and strong poset Ramsey-Turán numbers for t-chains in the Boolean lattice and proves equality to (k-1)(l-1) for chains when t=1 plus Theta(n^t) growth for non-chains.