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FOCS
2008
IEEE
9 years 10 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan
FOCS
2008
IEEE
9 years 10 months ago
Hardness of Nearest Neighbor under L-infinity
Recent years have seen a significant increase in our understanding of high-dimensional nearest neighbor search (NNS) for distances like the 1 and 2 norms. By contrast, our underst...
Alexandr Andoni, Dorian Croitoru, Mihai Patrascu
FOCS
2008
IEEE
9 years 10 months ago
Approximation Algorithms for Single-minded Envy-free Profit-maximization Problems with Limited Supply
We present the first polynomial-time approximation algorithms for single-minded envy-free profit-maximization problems [13] with limited supply. Our algorithms return a pricing sc...
Maurice Cheung, Chaitanya Swamy
FOCS
2008
IEEE
9 years 10 months ago
Matrix Sparsification for Rank and Determinant Computations via Nested Dissection
The nested dissection method developed by Lipton, Rose, and Tarjan is a seminal method for quickly performing Gaussian elimination of symmetric real positive definite matrices who...
Raphael Yuster
FOCS
2008
IEEE
9 years 10 months ago
Isotropic PCA and Affine-Invariant Clustering
S. Charles Brubaker, Santosh Vempala
FOCS
2008
IEEE
9 years 11 months ago
Quantum Multi Prover Interactive Proofs with Communicating Provers
We introduce another variant of Quantum MIP, where the provers do not share entanglement, the communication between the verifier and the provers is quantum, but the provers are u...
Michael Ben-Or, Avinatan Hassidim, Haran Pilpel
FOCS
2008
IEEE
9 years 11 months ago
Set Covering with our Eyes Closed
Given a universe U of n elements and a weighted collection S of m subsets of U, the universal set cover problem is to a-priori map each element u ∈ U to a set S(u) ∈ S contain...
Fabrizio Grandoni, Anupam Gupta, Stefano Leonardi,...
FOCS
2008
IEEE
9 years 11 months ago
On the Approximability of Budgeted Allocations and Improved Lower Bounds for Submodular Welfare Maximization and GAP
In this paper we consider the following maximum budgeted allocation (MBA) problem: Given a set of m indivisible items and n agents; each agent i willing to pay bij on item j and w...
Deeparnab Chakrabarty, Gagan Goel
FOCS
2008
IEEE
9 years 11 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
FOCS
2008
IEEE
9 years 11 months ago
A Dichotomy Theorem for the Resolution Complexity of Random Constraint Satisfaction Problems
We consider random instances of constraint satisfaction problems where each variable has domain size O(1), each constraint is on O(1) variables and the constraints are chosen from...
Siu On Chan, Michael Molloy
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