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The Cartographer
Tight bounds for popping algorithms
July 04, 2018 Β· Declared Dead Β· π Random Struct. Algorithms
"No code URL or promise found in abstract"
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Authors
Heng Guo, Kun He
arXiv ID
1807.01680
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.CC
Citations
22
Venue
Random Struct. Algorithms
Last Checked
3 months ago
Abstract
We sharpen run-time analysis for algorithms under the partial rejection sampling framework. Our method yields improved bounds for: the cluster-popping algorithm for approximating all-terminal network reliability; the cycle-popping algorithm for sampling rooted spanning trees; the sink-popping algorithm for sampling sink-free orientations. In all three applications, our bounds are not only tight in order, but also optimal in constants.
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