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English(EN) Optimal Unambiguous DNFs and Alon-Saks-Seymour

最优无歧义DNF反驳Alon-Saks-Seymour猜想

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员开发出了宽度为O(n)但证书复杂度为Ω(n^2)的无歧义析取范式（DNF）。该构造利用了这些DNF的特定结构，证明了一个提升定理，将证书复杂度分离转化为通信复杂度分离。这项工作为Alon-Saks-Seymour猜想提供了最优反驳，并为Clique与Independent Set问题提供了改进的通信下界，其结果超越了先前几项双对数因子的结果。 AI

影响 推进了计算复杂性的理论理解，可能影响未来的算法设计。

排序理由 该条目描述了一篇具有新构造和证明的理论计算机科学论文。[lever_c_demoted from research: ic=1 ai=0.4]

在 Hugging Face Daily Papers 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

最优无歧义DNF反驳Alon-Saks-Seymour猜想

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该条目描述了一篇具有新构造和证明的理论计算机科学论文。[lever_c_demoted from research: ic=1 ai=0.4]
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报道来源 [1]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    最优无歧义DNF与Alon-Saks-Seymour

    We construct unambiguous DNFs having width $O(n)$ but $0$-certificate complexity $Ω(n^2)$. By utilizing the special structure of these DNFs, we prove a lifting theorem with a constant-sized gadget that lifts the DNF to a communication problem, while losslessly translating the sep…

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