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FOCS
2008
IEEE
14 years 5 months ago
Unique Games with Entangled Provers are Easy
We consider one-round games between a classical verifier and two provers who share entanglement. We show that when the constraints enforced by the verifier are ‘unique’ cons...
Julia Kempe, Oded Regev, Ben Toner
FOCS
2008
IEEE
13 years 11 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
14 years 5 months ago
On the Hardness of Being Truthful
The central problem in computational mechanism design is the tension between incentive compatibility and computational ef ciency. We establish the rst significant approximability ...
Christos H. Papadimitriou, Michael Schapira, Yaron...
FOCS
2008
IEEE
13 years 12 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
14 years 5 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...