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» Proving Integrality Gaps without Knowing the Linear Program
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FCT
2003
Springer
14 years 4 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 11 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
COCO
2007
Springer
107views Algorithms» more  COCO 2007»
14 years 5 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
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 2 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
JCO
2006
68views more  JCO 2006»
13 years 10 months ago
Strengthened 0-1 linear formulation for the daily satellite mission planning
In this paper, we compare several 0-1 linear programs for solving the satellite mission planning problem. We prove that one of them presents a smaller integrality gap. Our explana...
Virginie Gabrel