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» Integrality gaps for Sherali-Adams relaxations
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APPROX
2010
Springer
147views Algorithms» more  APPROX 2010»
13 years 7 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
COCO
2007
Springer
107views Algorithms» more  COCO 2007»
13 years 11 months ago
A Linear Round Lower Bound for Lovasz-Schrijver SDP Relaxations of Vertex Cover
We study semidefinite programming relaxations of Vertex Cover arising from repeated applications of the LS+ “lift-and-project” method of Lovasz and Schrijver starting from th...
Grant Schoenebeck, Luca Trevisan, Madhur Tulsiani
IPCO
2008
91views Optimization» more  IPCO 2008»
13 years 7 months ago
New Geometry-Inspired Relaxations and Algorithms for the Metric Steiner Tree Problem
Abstract. Determining the integrality gap of the bidirected cut relaxation for the metric Steiner tree problem, and exploiting it algorithmically, is a long-standing open problem. ...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 7 months ago
A Simple LP Relaxation for the Asymmetric Traveling Salesman Problem
A long-standing conjecture in Combinatorial Optimization is that the integrality gap of the Held-Karp LP relaxation for the Asymmetric Traveling Salesman Problem (ATSP) is a consta...
Thành Nguyen
IPCO
2008
87views Optimization» more  IPCO 2008»
13 years 7 months ago
Vertex Cover Resists SDPs Tightened by Local Hypermetric Inequalities
We consider the standard semidefinite programming (SDP) relaxation for vertex cover to which all hypermetric inequalities supported on at most k vertices have been added. We show t...
Konstantinos Georgiou, Avner Magen, Iannis Tourlak...