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» Approximation Algorithms for Unique Games
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RC
2002
70views more  RC 2002»
13 years 7 months ago
On Existence and Uniqueness Verification for Non-Smooth Functions
Given an approximate solution to a nonlinear system of equations at which the Jacobi matrix is nonsingular, and given that the Jacobi matrix is continuous in a region about this ap...
R. Baker Kearfott
CDC
2010
IEEE
117views Control Systems» more  CDC 2010»
13 years 2 months ago
Distributed iterative regularization algorithms for monotone Nash games
In this paper, we consider the development of single-timescale schemes for the distributed computation of Nash equilibria. In general, equilibria associated with convex Nash games ...
Aswin Kannan, Uday V. Shanbhag
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 7 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani
STOC
2009
ACM
87views Algorithms» more  STOC 2009»
14 years 8 months ago
Randomly supported independence and resistance
We prove that for any positive integer k, there is a constant ck such that a randomly selected set of cknk log n Boolean vectors with high probability supports a balanced k-wise i...
Per Austrin, Johan Håstad
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 2 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra