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Subcubic Equivalences Between Path, Matrix, and Triangle Problems , volume =

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Witness-Sensitive Detection of Induced Diamonds

cs.DS · 2026-05-09 · unverdicted · novelty 7.0

A witness-sensitive algorithm detects induced diamonds in Õ(min(n^{2.425}/t^{0.25} + n², n^ω)) time with high probability, improving on the prior O(n^ω log n) bound when t ≥ n^{(3-ω)/3}.

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  • Witness-Sensitive Detection of Induced Diamonds cs.DS · 2026-05-09 · unverdicted · none · ref 36

    A witness-sensitive algorithm detects induced diamonds in Õ(min(n^{2.425}/t^{0.25} + n², n^ω)) time with high probability, improving on the prior O(n^ω log n) bound when t ≥ n^{(3-ω)/3}.