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FOCS
2008
IEEE
14 years 15 days ago
Kakeya Sets, New Mergers and Old Extractors
A merger is a probabilistic procedure which extracts the randomness out of any (arbitrarily correlated) set of random variables, as long as one of them is uniform. Our main result...
Zeev Dvir, Avi Wigderson
FOCS
2008
IEEE
13 years 7 months ago
Minimizing Movement in Mobile Facility Location Problems
In the mobile facility location problem, which is a variant of the classical Uncapacitated Facility Location and kMedian problems, each facility and client is assigned to a start ...
Zachary Friggstad, Mohammad R. Salavatipour
FSTTCS
2009
Springer
14 years 18 days ago
Iterative Methods in Combinatorial Optimization
We describe a simple iterative method for proving a variety of results in combinatorial optimization. It is inspired by Jain’s iterative rounding method (FOCS 1998) for designing...
R. Ravi
FOCS
2007
IEEE
14 years 11 days ago
Linear Equations Modulo 2 and the L1 Diameter of Convex Bodies
We design a randomized polynomial time algorithm which, given a 3-tensor of real numbers A = {aijk}n i,j,k=1 such that for all i, j, k ∈ {1, . . . , n} we have ai jk = aik j = a...
Subhash Khot, Assaf Naor
COCO
2007
Springer
96views Algorithms» more  COCO 2007»
14 years 6 days ago
Unbalanced Expanders and Randomness Extractors from Parvaresh-Vardy Codes
We give an improved explicit construction of highly unbalanced bipartite expander graphs with expansion arbitrarily close to the degree (which is polylogarithmic in the number of ...
Venkatesan Guruswami, Christopher Umans, Salil P. ...