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CORR
2010
Springer
142views Education» more  CORR 2010»
13 years 4 months ago
Integrality Gaps of Linear and Semi-definite Programming Relaxations for Knapsack
Recent years have seen an explosion of interest in lift and project methods, such as those proposed by Lov
Anna R. Karlin, Claire Mathieu, C. Thach Nguyen
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
FCT
2003
Springer
13 years 10 months ago
Proving Integrality Gaps without Knowing the Linear Program
: Proving integrality gaps for linear relaxations of NP optimization problems is a difficult task and usually undertaken on a case-by-case basis. We initiate a more systematic app...
Sanjeev Arora
STOC
2007
ACM
117views Algorithms» more  STOC 2007»
14 years 5 months ago
Tight integrality gaps for Lovasz-Schrijver LP relaxations of vertex cover and max cut
We study linear programming relaxations of Vertex Cover and Max Cut arising from repeated applications of the "lift-and-project" method of Lovasz and Schrijver starting ...
Grant Schoenebeck, Luca Trevisan, Madhur Tulsiani
CORR
2011
Springer
174views Education» more  CORR 2011»
12 years 8 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