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» Some Algorithmic Problems in Polytope Theory
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STOC
2002
ACM
107views Algorithms» more  STOC 2002»
15 years 10 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
CORR
2008
Springer
128views Education» more  CORR 2008»
14 years 9 months ago
A Quantifier Elimination Algorithm for Linear Real Arithmetic
We propose a new quantifier elimination algorithm for the theory of linear real arithmetic. This algorithm uses as subroutines satisfiability modulo this theory and polyhedral pro...
David Monniaux
WEA
2005
Springer
176views Algorithms» more  WEA 2005»
15 years 3 months ago
High-Performance Algorithm Engineering for Large-Scale Graph Problems and Computational Biology
Abstract. Many large-scale optimization problems rely on graph theoretic solutions; yet high-performance computing has traditionally focused on regular applications with high degre...
David A. Bader
SAC
2010
ACM
15 years 4 months ago
Reachability analysis of GSPDIs: theory, optimization, and implementation
Analysis of systems containing both discrete and continuous dynamics, hybrid systems, is a difficult issue. Most problems have been shown to be undecidable in general, and decidab...
Hallstein Asheim Hansen, Gerardo Schneider
SAGT
2010
Springer
160views Game Theory» more  SAGT 2010»
14 years 8 months ago
How Do You Like Your Equilibrium Selection Problems? Hard, or Very Hard?
The PPAD-completeness of Nash equilibrium computation is taken as evidence that the problem is computationally hard in the worst case. This evidence is necessarily rather weak, in ...
Paul W. Goldberg