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math.CO 1

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2025 1

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CONDITIONAL 1

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Relative discrepancy of hypergraphs

math.CO · 2025-06-29 · conditional · novelty 8.0

The paper proves bs(k) ≤ g(k)+2 for k-uniform hypergraphs, determines bs(k)=3 for 3≤k≤13, and improves the known upper bound from k+1 to O(k^{0.525}).

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  • Relative discrepancy of hypergraphs math.CO · 2025-06-29 · conditional · none · ref 1

    The paper proves bs(k) ≤ g(k)+2 for k-uniform hypergraphs, determines bs(k)=3 for 3≤k≤13, and improves the known upper bound from k+1 to O(k^{0.525}).