Electric routing and concurrent flow cutting

We investigate an oblivious routing scheme, amenable to distributed computation and resilient to graph changes, based on electrical flow. Our main technical contribution is a new rounding method which we use to obtain a bound on the operator norm of the inverse graph Laplacian. We show how this norm...

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Bibliographic Details
Main Authors: Kelner, Jonathan Adam, Maymounkov, Petar Borissov
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Published: Elsevier 2018
Online Access:http://hdl.handle.net/1721.1/115843
https://orcid.org/0000-0002-4257-4198
Description
Summary:We investigate an oblivious routing scheme, amenable to distributed computation and resilient to graph changes, based on electrical flow. Our main technical contribution is a new rounding method which we use to obtain a bound on the operator norm of the inverse graph Laplacian. We show how this norm reflects both latency and congestion of electric routing. Keywords: Oblivious routing; Spectral graph theory; Laplacian operator