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» Proving Integrality Gaps without Knowing the Linear Program
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FCT
2003
Springer
15 years 5 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»
16 years 25 days 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
103
Voted
COCO
2007
Springer
107views Algorithms» more  COCO 2007»
15 years 6 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»
14 years 4 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
82
Voted
JCO
2006
68views more  JCO 2006»
15 years 15 days 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