linear programming relaxations

39

SIAMJO
2000

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Computational Experience with an Interior Point Cutting Plane Algorithm

13 years 11 months ago

There has been a great deal of success in the last twenty years with the use of cutting plane algorithms to solve specialized integer programming problems. Generally, these algori...

John E. Mitchell

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32

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APPROX
2010
Springer

189views Algorithms» more APPROX 2010»

Approximating Sparsest Cut in Graphs of Bounded Treewidth

13 years 11 months ago

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We give the first constant-factor approximation algorithm for Sparsest-Cut with general demands in bounded treewidth graphs. In contrast to previous algorithms, which rely on the f...

Eden Chlamtac, Robert Krauthgamer, Prasad Raghaven...

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40

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STOC
2007
ACM

117views Algorithms» more STOC 2007»

Tight integrality gaps for Lovasz-Schrijver LP relaxations of vertex cover and max cut

14 years 12 months ago

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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

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26

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STOC
2009
ACM

98views Algorithms» more STOC 2009»

Sherali-adams relaxations of the matching polytope

15 years 5 days ago

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We study the Sherali-Adams lift-and-project hierarchy of linear programming relaxations of the matching polytope. Our main result is an asymptotically tight expression 1 + 1/k for...

Claire Mathieu, Alistair Sinclair

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27

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ICML
2009
IEEE

129views Machine Learning» more ICML 2009»

Solution stability in linear programming relaxations: graph partitioning and unsupervised learning

15 years 11 days ago