2000 character limit reached
Tight bounds for popping algorithms (1807.01680v2)
Published 4 Jul 2018 in cs.DS and cs.CC
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.