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» Polynomial Interpretations and the Complexity of Algorithms
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AAAI
2010
15 years 1 months ago
Complexity of Computing Optimal Stackelberg Strategies in Security Resource Allocation Games
Recently, algorithms for computing game-theoretic solutions have been deployed in real-world security applications, such as the placement of checkpoints and canine units at Los An...
Dmytro Korzhyk, Vincent Conitzer, Ronald Parr
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
15 years 6 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
CORR
2010
Springer
162views Education» more  CORR 2010»
14 years 8 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
AMW
2011
14 years 3 months ago
Bag Equivalence of Bounded Symmetry-Degree Conjunctive Queries with Inequalities
Abstract. We consider the problem of checking equivalence of conjunctive queries with inequalities under bag (multiset) semantics. The problem is known to be decidable in pspace an...
Mingmin Chen, Todd J. Green
FOCS
2008
IEEE
14 years 12 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