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New algorithm tackles maximum strong independent set problem in hypergraphs

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This paper introduces a new algorithmic approach to solving the maximum strong independent set problem in hypergraphs. The problem involves finding the largest set of vertices such that each hyperedge intersects the set in at most one vertex. This concept is applicable in scenarios like multi-band LSH-MinHash deduplication, where local collision evidence needs careful handling to avoid spurious global equivalences. The research develops a toolkit for this problem, including reductions, bounds, and certificates, and analyzes a greedy clustering algorithm with associated complexity bounds. AI

RANK_REASON The item is an academic paper published on arXiv detailing a new algorithmic approach to a specific mathematical problem. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

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New algorithm tackles maximum strong independent set problem in hypergraphs

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The item is an academic paper published on arXiv detailing a new algorithmic approach to a specific mathematical problem. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yingquan (Cody), Wu, Jason Cong ·

    Maximum Strong Independent Sets in Hypergraphs: Reductions, Bounds, and Greedy Certificates

    arXiv:2609.17951v1 Announce Type: new Abstract: We study the maximum strong independent set problem in a finite hypergraph: find the largest vertex set that intersects every hyperedge in at most one vertex. This objective arises whenever each observed block is a local incompatibi…

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