Approximating Sparsest Cut in Graphs of Bounded Treewidth
@article{Chlamtc2010ApproximatingSC, title={Approximating Sparsest Cut in Graphs of Bounded Treewidth}, author={E. Chlamt{\'a}c and Robert Krauthgamer and P. Raghavendra}, journal={ArXiv}, year={2010}, volume={abs/1006.3970} }
We give the first constant-factor approximation algorithm for Sparsest-Cut with general demands in bounded treewidth graphs. In contrast to previous algorithms, which rely on the flow-cut gap and/or metric embeddings, our approach exploits the Sherali-Adams hierarchy of linear programming relaxations.
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- 2012
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References
SHOWING 1-10 OF 58 REFERENCES
ON THE HARDNESS OF APPROXIMATING MULTICUT AND SPARSEST-CUT
- Computer Science, Mathematics
- 20th Annual IEEE Conference on Computational Complexity (CCC'05)
- 2005
- 151
- PDF
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
- Mathematics, Computer Science
- 2008 49th Annual IEEE Symposium on Foundations of Computer Science
- 2008
- 31
- PDF
Expander flows, geometric embeddings and graph partitioning
- Mathematics, Computer Science
- STOC '04
- 2004
- 497
- Highly Influential
- PDF
An Improved Decomposition Theorem for Graphs Excluding a Fixed Minor
- Mathematics, Computer Science
- RANDOM-APPROX
- 2003
- 58
Euclidean distortion and the sparsest cut
- Mathematics, Computer Science
- STOC '05
- 2005
- 199
- Highly Influential
- PDF
An O(log k) Approximate Min-Cut Max-Flow Theorem and Approximation Algorithm
- Mathematics, Computer Science
- SIAM J. Comput.
- 1998
- 276
- PDF
Proving Integrality Gaps without Knowing the Linear Program
- Computer Science, Mathematics
- Theory Comput.
- 2006
- 86
- PDF
Approximate formulations for 0-1 knapsack sets
- Mathematics, Computer Science
- Oper. Res. Lett.
- 2008
- 44
- PDF