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APPROX
2010
Springer
147views Algorithms» more  APPROX 2010»
13 years 6 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»
12 years 9 months 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 2 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 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...
STOC
2009
ACM
98views Algorithms» more  STOC 2009»
14 years 5 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