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» Integrality gaps for Sherali-Adams relaxations
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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
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
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
CORR
2010
Springer
142views Education» more  CORR 2010»
13 years 5 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