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arXiv · 1807.01680

Tight bounds for popping algorithms

Heng Guo·Kun He
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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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Heng Guo, Kun He. 2018-07-04. Tight bounds for popping algorithms. https://arxiv.org/abs/1807.01680

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