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» Integrality Gaps for Strong SDP Relaxations of UNIQUE GAMES
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SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 11 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...
APPROX
2010
Springer
147views Algorithms» more  APPROX 2010»
13 years 10 months ago
Approximate Lasserre Integrality Gap for Unique Games
In this paper, we investigate whether a constant round Lasserre Semi-definite Programming (SDP) relaxation might give a good approximation to the UNIQUE GAMES problem. We show tha...
Subhash Khot, Preyas Popat, Rishi Saket
STOC
2009
ACM
150views Algorithms» more  STOC 2009»
14 years 9 months ago
Integrality gaps for Sherali-Adams relaxations
We prove strong lower bounds on integrality gaps of Sherali?Adams relaxations for MAX CUT, Vertex Cover, Sparsest Cut and other problems. Our constructions show gaps for Sherali?A...
Moses Charikar, Konstantin Makarychev, Yury Makary...
SODA
2010
ACM
175views Algorithms» more  SODA 2010»
14 years 5 months ago
Fast SDP Algorithms for Constraint Satisfaction Problems
The class of constraint satisfactions problems (CSPs) captures many fundamental combinatorial optimization problems such as Max Cut, Max q-Cut, Unique Games, and Max k-Sat. Recent...
David Steurer