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STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 11 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
AAAI
2004
13 years 9 months ago
Towards Efficient Sampling: Exploiting Random Walk Strategies
From a computational perspective, there is a close connection between various probabilistic reasoning tasks and the problem of counting or sampling satisfying assignments of a pro...
Wei Wei, Jordan Erenrich, Bart Selman
COCO
2008
Springer
88views Algorithms» more  COCO 2008»
13 years 9 months ago
Approximation of Natural W[P]-Complete Minimisation Problems Is Hard
We prove that the weighted monotone circuit satisfiability problem has no fixed-parameter tractable approximation algorithm with constant or polylogarithmic approximation ratio un...
Kord Eickmeyer, Martin Grohe, Magdalena Grübe...
JSAT
2007
63views more  JSAT 2007»
13 years 7 months ago
The Complexity of Some Subclasses of Minimal Unsatis able Formulas
This paper is concerned with the complexity of some natural subclasses of minimal unsatisfiable formulas. We show the DP –completeness of the classes of maximal and marginal mi...
Hans Kleine Büning, Xishun Zhao
FOCS
2009
IEEE
14 years 2 months ago
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
— We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. In this paper, we sh...
Daniel Gottesman, Sandy Irani