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...

Full description

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
_version_ 1826206986427957248
author Kelner, Jonathan Adam
Maymounkov, Petar Borissov
author2 Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
author_facet Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Kelner, Jonathan Adam
Maymounkov, Petar Borissov
author_sort Kelner, Jonathan Adam
collection MIT
description 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
first_indexed 2024-09-23T13:41:43Z
format Article
id mit-1721.1/115843
institution Massachusetts Institute of Technology
last_indexed 2024-09-23T13:41:43Z
publishDate 2018
publisher Elsevier
record_format dspace
spelling mit-1721.1/1158432022-10-01T16:35:13Z Electric routing and concurrent flow cutting Kelner, Jonathan Adam Maymounkov, Petar Borissov Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Kelner, Jonathan Adam Maymounkov, Petar Borissov 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 2018-05-24T15:45:24Z 2018-05-24T15:45:24Z 2010-06 2018-05-24T13:30:35Z Article http://purl.org/eprint/type/JournalArticle 0304-3975 http://hdl.handle.net/1721.1/115843 Kelner, Jonathan and Petar Maymounkov. “Electric Routing and Concurrent Flow Cutting.” Theoretical Computer Science 412, 32 (July 2011): 4123–4135 © 2010 Elsevier B.V. https://orcid.org/0000-0002-4257-4198 http://dx.doi.org/10.1016/j.tcs.2010.06.013 Theoretical Computer Science Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Elsevier arXiv
spellingShingle Kelner, Jonathan Adam
Maymounkov, Petar Borissov
Electric routing and concurrent flow cutting
title Electric routing and concurrent flow cutting
title_full Electric routing and concurrent flow cutting
title_fullStr Electric routing and concurrent flow cutting
title_full_unstemmed Electric routing and concurrent flow cutting
title_short Electric routing and concurrent flow cutting
title_sort electric routing and concurrent flow cutting
url http://hdl.handle.net/1721.1/115843
https://orcid.org/0000-0002-4257-4198
work_keys_str_mv AT kelnerjonathanadam electricroutingandconcurrentflowcutting
AT maymounkovpetarborissov electricroutingandconcurrentflowcutting