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CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 5 months ago
Grothendieck inequalities for semidefinite programs with rank constraint
Grothendieck inequalities are fundamental inequalities which are frequently used in many areas of mathematics and computer science. They can be interpreted as upper bounds for the ...
Jop Briët, Fernando Mário de Oliveira ...
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 10 days ago
Submodular Maximization over Multiple Matroids via Generalized Exchange Properties
Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
Jon Lee, Maxim Sviridenko, Jan Vondrák
STOC
2006
ACM
132views Algorithms» more  STOC 2006»
14 years 6 months ago
Near-optimal algorithms for unique games
Unique games are constraint satisfaction problems that can be viewed as a generalization of Max-Cut to a larger domain size. The Unique Games Conjecture states that it is hard to ...
Moses Charikar, Konstantin Makarychev, Yury Makary...
SOFSEM
2007
Springer
13 years 12 months ago
Exact Max 2-Sat: Easier and Faster
Prior algorithms known for exactly solving Max 2-Sat improve upon the trivial upper bound only for very sparse instances. We present new algorithms for exactly solving (in fact, c...
Martin Fürer, Shiva Prasad Kasiviswanathan
WG
2005
Springer
13 years 11 months ago
Approximation Algorithms for the Weighted Independent Set Problem
In unweighted case, approximation ratio for the independent set problem has been analyzed in terms of the graph parameters, such as the number of vertices, maximum degree, and aver...
Akihisa Kako, Takao Ono, Tomio Hirata, Magnú...