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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
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 11 days ago
Lift-and-Project Integrality Gaps for the Traveling Salesperson Problem
We study the lift-and-project procedures of Lov´asz-Schrijver and Sherali-Adams applied to the standard linear programming relaxation of the traveling salesperson problem with tr...
Thomas Watson
SODA
2010
ACM
216views Algorithms» more  SODA 2010»
14 years 6 months ago
On linear and semidefinite programming relaxations for hypergraph matching
The hypergraph matching problem is to find a largest collection of disjoint hyperedges in a hypergraph. This is a well-studied problem in combinatorial optimization and graph theo...
Yuk Hei Chan, Lap Chi Lau
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...
STOC
2009
ACM
98views Algorithms» more  STOC 2009»
14 years 9 months ago
Sherali-adams relaxations of the matching polytope
We study the Sherali-Adams lift-and-project hierarchy of linear programming relaxations of the matching polytope. Our main result is an asymptotically tight expression 1 + 1/k for...
Claire Mathieu, Alistair Sinclair