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» Rounding to an Integral Program
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WEA
2005
Springer
100views Algorithms» more  WEA 2005»
13 years 10 months ago
Rounding to an Integral Program
We present a general framework for approximating several NP-hard problems that have two underlying properties in common. First, the problems we consider can be formulated as intege...
Refael Hassin, Danny Segev
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
JMLR
2010
115views more  JMLR 2010»
13 years 3 months ago
Message-passing for Graph-structured Linear Programs: Proximal Methods and Rounding Schemes
The problem of computing a maximum a posteriori (MAP) configuration is a central computational challenge associated with Markov random fields. There has been some focus on “tr...
Pradeep Ravikumar, Alekh Agarwal, Martin J. Wainwr...
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
SODA
2010
ACM
133views Algorithms» more  SODA 2010»
14 years 2 months ago
Testing additive integrality gaps
We consider the problem of testing whether the maximum additive integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed...
Friedrich Eisenbrand, Nicolai Hähnle, Dömötör ...