Electrical flows, Laplacian systems, and faster approximation of maximum flow in undirected graphs

We introduce a new approach to computing an approximately maximum s-t flow in a capacitated, undirected graph. This flow is computed by solving a sequence of electrical flow problems. Each electrical flow is given by the solution of a system of linear equations in a Laplacian matrix, and thus may be...

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Bibliographic Details
Main Authors: Christiano, Paul F., Kelner, Jonathan Adam, Madry, Aleksander, Spielman, Daniel A., Teng, Shang-Hua
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Association for Computing Machinery 2012
Online Access:http://hdl.handle.net/1721.1/71698
https://orcid.org/0000-0003-0536-0323
https://orcid.org/0000-0002-4257-4198