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CORR
2012
Springer
203views Education» more  CORR 2012»
12 years 20 days ago
Constant Factor Lasserre Integrality Gaps for Graph Partitioning Problems
Venkatesan Guruswami, Ali Kemal Sinop, Yuan Zhou
STOC
2009
ACM
160views Algorithms» more  STOC 2009»
14 years 5 months ago
CSP gaps and reductions in the lasserre hierarchy
We study integrality gaps for SDP relaxations of constraint satisfaction problems, in the hierarchy of SDPs defined by Lasserre. Schoenebeck [25] recently showed the first integra...
Madhur Tulsiani
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 7 months ago
Polynomial integrality gaps for strong SDP relaxations of Densest k-subgraph
The Densest k-subgraph problem (i.e. find a size k subgraph with maximum number of edges), is one of the notorious problems in approximation algorithms. There is a significant g...
Aditya Bhaskara, Moses Charikar, Aravindan Vijayar...
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 8 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
SODA
2012
ACM
297views Algorithms» more  SODA 2012»
11 years 7 months ago
Constant factor approximation algorithm for the knapsack median problem
We give a constant factor approximation algorithm for the following generalization of the k-median problem. We are given a set of clients and facilities in a metric space. Each fa...
Amit Kumar