A polynomial-time approximation algorithm for all-terminal network reliability

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 con...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org
Main Authors: Guo, Heng, Jerrum, Mark
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 10.02.2019
Subjects:
Algorithms
Approximation
Graph theory
Logic programming
Mathematical analysis
Network reliability
Polynomials
Run time (computers)
System reliability
ISSN:2331-8422
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1709.08561