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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
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
STOC
2009
ACM
150views Algorithms» more  STOC 2009»
14 years 5 months ago
Integrality gaps for Sherali-Adams relaxations
We prove strong lower bounds on integrality gaps of Sherali?Adams relaxations for MAX CUT, Vertex Cover, Sparsest Cut and other problems. Our constructions show gaps for Sherali?A...
Moses Charikar, Konstantin Makarychev, Yury Makary...
STOC
2009
ACM
160views Algorithms» more  STOC 2009»
14 years 5 months ago
CSP gaps and reductions in the lasserre hierarchy
We study integrality gaps for SDP relaxations of constraint satisfaction problems, in the hierarchy of SDPs defined by Lasserre. Schoenebeck [25] recently showed the first integra...
Madhur Tulsiani
FOCS
2008
IEEE
13 years 11 months ago
Linear Level Lasserre Lower Bounds for Certain k-CSPs
We show that for k ≥ 3 even the Ω(n) level of the Lasserre hierarchy cannot disprove a random k-CSP instance over any predicate type implied by k-XOR constraints, for example ...
Grant Schoenebeck