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Computer Science > Data Structures and Algorithms

arXiv:2509.17029 (cs)
[Submitted on 21 Sep 2025 ]

Title: Optimal 4-Approximation for the Correlated Pandora's Problem

Title: 相关潘多拉问题的最优4-近似解

Authors:Nikhil Bansal, Zhiyi Huang, Zixuan Zhu
Abstract: The Correlated Pandora's Problem posed by Chawla et al. (2020) generalizes the classical Pandora's Problem by allowing the numbers inside the Pandora's boxes to be correlated. It also generalizes the Min Sum Set Cover problem, and is related to the Uniform Decision Tree problem. This paper gives an optimal 4-approximation for the Correlated Pandora's Problem, matching the lower bound of 4 from Min Sum Set Cover.
Abstract: 由Chawla等人提出的相关潘多拉问题(2020)通过允许潘多拉盒子中的数字相关而推广了经典的潘多拉问题。它还推广了最小总集覆盖问题,并与均匀决策树问题相关。本文为相关潘多拉问题提供了最优的4倍近似解,与最小总集覆盖问题的下界4相匹配。
Comments: to appear in FOCS 2025
Subjects: Data Structures and Algorithms (cs.DS)
Cite as: arXiv:2509.17029 [cs.DS]
  (or arXiv:2509.17029v1 [cs.DS] for this version)
  https://doi.org/10.48550/arXiv.2509.17029
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Zixuan Zhu [view email]
[v1] Sun, 21 Sep 2025 10:43:47 UTC (1,042 KB)
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