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FOCS
2009
IEEE
15 years 10 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 7 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 10 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 10 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
FOCS
2009
IEEE
15 years 10 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