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We study the design of local algorithms for massive graphs.
The mixing rate of Markov chains, an isoperimetric inequality, and computing the volume
L. Lovasz and M. Simonovits · 1990
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Random walks in a convex body and an improved volume algorithm
Lovasz and Simonovits · 1993
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The pagerank citation ranking: Bringing order to the web
Lawrence Page, Sergey Brin, Rajeev Motwani, and Terry Winograd · 1998
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Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
Tom Leighton and Satish Rao · 1999
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Immersive and interactive exploration of billion-atom systems
Ashish Sharma, Xinlian Liu, Paul Miller, Aiichiro Nakano, Rajiv K. Kalia, Priya Vashishta, Wei Zhao, Timothy J. Campbell, and Andy Haas · 2002
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Nearly-linear time algorithms for graph partitioning, graph sparsification, and solving linear systems
Daniel A. Spielman and Shang-Hua Teng · 2003
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0(sqrt (log n)) approximation to Sparsest Cut in õ(n 2 ) time
Sanjeev Arora, Elad Hazan, and Satyen Kale · 2004
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Expander flows, geometric embeddings and graph partitioning
Sanjeev Arora, Satish Rao, and Umesh Vazirani · 2004
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On clusterings: Good, bad and spectral
Ravi Kannan, Santosh Vempala, and Adrian Vetta · 2004
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Morre’s law
Intel Corporation · 2005
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The indexable web is more than 11.5 billion pages
A. Gulli and A. Signorini · 2005
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Local graph partitioning using pagerank vectors
Reid Andersen, Fan Chung, and Kevin Lang · 2006
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Graph partitioning using single commodity flows
Rohit Khandekar, Satish Rao, and Umesh Vazirani · 2006
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On the NP-completeness of some graph cluster measures
Jirí Síma and Satu Elisa Schaeffer · 2006
Cited alongside, same era.
Local computation of pagerank contributions
Local partitioning for directed graphs using pagerank
Reid Andersen, Fan R. K. Chung, and Kevin J. Lang · 2007
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A combinatorial, primal-dual approach to semidefinite programs
Sanjeev Arora and Satyen Kale · 2007
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A local algorithm for finding dense subgraphs
Reid Andersen · 2008
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Planetary-scale views on a large instant-messaging network
Jure Leskovec and Eric Horvitz · 2008
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On partitioning graphs via single commodity flows
Lorenzo Orecchia, Leonard J. Schulman, Umesh V. Vazirani, and Nisheeth K. Vishnoi · 2008
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Nearly-linear time algorithms for preconditioning and solving symmetric, diagonally dominant linear systems
Daniel A. Spielman and Shang-Hua Teng · 2008
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Reid Andersen, Christian Borgs, Jennifer T. Chayes, John E. Hopcraft, Vahab S. Mirrokni, and Shang-Hua Teng · 2007
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Spectral sparsification of graphs
Daniel A. Spielman and Shang-Hua Teng · 2008
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