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The Cartographer
A polynomial-time approximation algorithm for all-terminal network reliability
September 25, 2017 Β· Declared Dead Β· π International Colloquium on Automata, Languages and Programming
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Authors
Heng Guo, Mark Jerrum
arXiv ID
1709.08561
Category
cs.DS: Data Structures & Algorithms
Citations
37
Venue
International Colloquium on Automata, Languages and Programming
Last Checked
3 months ago
Abstract
We give a fully polynomial-time randomized approximation scheme (FPRAS) for the all-terminal network reliability problem, which is to determine the probability that, in a undirected graph, assuming each edge fails independently, the remaining graph is still connected. Our main contribution is to confirm a conjecture by Gorodezky and Pak (Random Struct. Algorithms, 2014), that the expected running time of the "cluster-popping" algorithm in bi-directed graphs is bounded by a polynomial in the size of the input.
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