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FOCS
2009
IEEE
15 years 4 months ago
On Allocating Goods to Maximize Fairness
Given a set A of m agents and a set I of n items, where agent A ∈ A has utility uA,i for item i ∈ I, our goal is to allocate items to agents to maximize fairness. Specificall...
Deeparnab Chakrabarty, Julia Chuzhoy, Sanjeev Khan...
FOCS
2009
IEEE
15 years 1 months ago
Space-Efficient Framework for Top-k String Retrieval Problems
Given a set D = {d1, d2, ..., dD} of D strings of total length n, our task is to report the "most relevant" strings for a given query pattern P. This involves somewhat mo...
Wing-Kai Hon, Rahul Shah, Jeffrey Scott Vitter
FOCS
2009
IEEE
15 years 4 months ago
Symmetry and Approximability of Submodular Maximization Problems
Abstract— A number of recent results on optimization problems involving submodular functions have made use of the ”multilinear relaxation” of the problem [3], [8], [24], [14]...
Jan Vondrák
FOCS
2009
IEEE
15 years 4 months ago
The Data Stream Space Complexity of Cascaded Norms
Abstract— We consider the problem of estimating cascaded aggregates over a matrix presented as a sequence of updates in a data stream. A cascaded aggregate P ◦Q is defined by ...
T. S. Jayram, David P. Woodruff
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FOCS
2009
IEEE
15 years 4 months ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson