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STOC
2009
ACM
15 years 10 months ago
2009
ACM
We prove lower bounds on the redundancy necessary to represent a set S of objects using a number of bits close to the information-theoretic minimum log2 |S|, while answering vario...
STOC
2009
ACM
15 years 10 months ago
2009
ACM
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...
STOC
2009
ACM
15 years 10 months ago
2009
ACM
The price of anarchy (POA) is a worst-case measure of the inefficiency of selfish behavior, defined as the ratio of the objective function value of a worst Nash equilibrium of a g...
STOC
2009
ACM
15 years 10 months ago
2009
ACM
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...
STOC
2009
ACM
15 years 10 months ago
2009
ACM
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...