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Set Cover in the One-pass Edge-arrival Streaming Model

Summary: Considers Set Cover in the one-pass edge-arrival streaming model (tuples (S,u)), capturing Dominating Set and strictly harder than set-arrival. Proves a strong adversarial vs random-order separation: adversarial streams need Õ(m) space for Õ(√n)-approx (lower bound), while random-order admits an Õ(√n)-approx with Õ(m/√n) space, and gives an adversarial α-approx tradeoff with space Õ((m n^2)/α^2). (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1897
Venue
PODS
Year
2023
Pagerank
5.1725247e-05
Overall Rank
11,170 | 22.37%
DOI
10.1145/3584372.3588678

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Rank Cited Paper Year Venue Pagerank
4,124 Towards Tight Bounds for the Streaming Set Cover Problem 2016 PODS 6.9485903e-05
5,592 Tight Space-Approximation Tradeoff for the Multi-Pass Streaming Set Cover Problem 2017 PODS 6.222801e-05
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