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» Expander flows, geometric embeddings and graph partitioning
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STOC
2004
ACM
88views Algorithms» more  STOC 2004»
14 years 5 months ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
CORR
2010
Springer
190views Education» more  CORR 2010»
13 years 4 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
GD
2004
Springer
13 years 10 months ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
13 years 9 months ago
Empirical Evaluation of Graph Partitioning Using Spectral Embeddings and Flow
We present initial results from the first empirical evaluation of a graph partitioning algorithm inspired by the Arora-Rao-Vazirani algorithm of [5], which combines spectral and ...
Kevin J. Lang, Michael W. Mahoney, Lorenzo Orecchi...
CCCG
2009
13 years 5 months ago
Colored Simultaneous Geometric Embeddings and Universal Pointsets
A set of n points in the plane is a universal pointset for a given class of graphs, if any n-vertex graph in that class can be embedded in the plane so that vertices are mapped to...
Alejandro Estrella-Balderrama, J. Joseph Fowler, S...