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This paper ties the line of work on algorithms that find an O(sqrt(log(n)))-approximation to the sparsest cut together with the line of work on algorithms that run in sub-quadratic time by using only single-commodity flows.
Positivity improving operators and hypercontractivity
Christer Borell · 1982
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A data structure for dynamic trees
Daniel D. Sleator and Robert Endre Tarjan · 1983
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λ 1 \lambda_{1} , isoperimetric inequalities for graphs, and superconcentrators
Noga Alon and V. D. Milman · 1985
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Fast approximation algorithms for fractional packing and covering problems
Serge A. Plotkin, David B. Shmoys, and Eva Tardos · 1995
Earlier work this paper cites.
Approximating s-t minimum cuts in O ( n 2 ) \,{O}(n^{2}) time
András A. Benczúr and David R. Karger · 1996
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Beyond the flow decomposition barrier
Andrew V. Goldberg and Satish Rao · 1998
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Adaptive game playing using multiplicative weights
Yoav Freund and Robert E. Schapire · 1999
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Approximating fractional multicommodity flow independent of the number of commodities
Lisa K. Fleischer · 2000
Cited alongside, same era.
On the optimality of the random hyperplane rounding technique for max cut
Uriel Feige and Gideon Schechtman · 2002
Cited alongside, same era.
Lectures on Discrete Geometry
Jiri Matousek · 2002
Cited alongside, same era.
Database-friendly random projections: Johnson-lindenstrauss with binary coins
Dimitris Achlioptas · 2003
Cited alongside, same era.
Concentration inequalities
Stéphane Boucheron, Gábor Lugosi, and Olivier Bousquet · 2003
Cited alongside, same era.
Expander flows, geometric embeddings and graph partitioning
Sanjeev Arora, Satish Rao, and Umesh Vazirani · 2004
Cited alongside, same era.
Euclidean distortion and the sparsest cut
Sanjeev Arora, James R. Lee, and Assaf Naor · 2005
Later among the works it cites.
On distance scales, embeddings, and efficient relaxations of the cut cone
James R. Lee · 2005
Later among the works it cites.
Graph partitioning using single commodity flows
Rohit Khandekar, Satish Rao, and Umesh Vazirani · 2006
Later among the works it cites.
Non-interactive correlation distillation, inhomogeneous markov chains, and the reverse bonami-beckner inequality
Elchanan Mossel, Oded Regev, Jeffrey E. Steif, and Benny Sudakov · 2006
Later among the works it cites.
A combinatorial, primal-dual approach to semidefinite programs
Sanjeev Arora and Satyen Kale · 2007
Later among the works it cites.
On partitioning graphs via single commodity flows
Lorenzo Orecchia, Leonard J. Schulman, Umesh V. Vazirani, and Nisheeth K. Vishnoi · 2008
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The multiplicative weights update method: a meta algorithm and applications
Sanjeev Arora, Elad Hazan, and Satyen Kale · 2005
Cited alongside, same era.
O ( log n ) \,{O}(\sqrt{\log n}) approximation to sparsest cut
Sanjeev Arora, Elad Hazan, and Satyen Kale
Cited in the paper.
Later among the works it cites.
personal communication, 2009
Lorenzo Orecchia · 2009
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