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» Integrality Gaps for Strong SDP Relaxations of UNIQUE GAMES
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CORR
2011
Springer
215views Education» more  CORR 2011»
13 years 1 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
SODA
2000
ACM
122views Algorithms» more  SODA 2000»
13 years 11 months ago
Cooperative facility location games
The location of facilities in order to provide service for customers is a well-studied problem in the operations research literature. In the basic model, there is a predefined cos...
Michel X. Goemans, Martin Skutella
FOCS
2008
IEEE
14 years 4 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
ICALP
2010
Springer
14 years 2 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket