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» On the Structure of Valiant's Complexity Classes
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CORR
2008
Springer
126views Education» more  CORR 2008»
15 years 2 months ago
Intrinsically Universal Cellular Automata
Abstract. We introduce a natural class of cellular automata characterised by a property of the local transition law without any assumption on the states set. We investigate some al...
Nicolas Ollinger
97
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APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
15 years 7 months ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...
82
Voted
CSR
2007
Springer
15 years 6 months ago
Equivalence Problems for Circuits over Sets of Natural Numbers
We investigate the complexity of equivalence problems for {∪, ∩, − , +, ×}-circuits computing sets of natural numbers. These problems were first introduced by Stockmeyer an...
Christian Glaßer, Katrin Herr, Christian Rei...
MP
2007
95views more  MP 2007»
15 years 2 days ago
Smoothed analysis of integer programming
We present a probabilistic analysis of integer linear programs (ILPs). More specifically, we study ILPs in a so-called smoothed analysis in which it is assumed that first an adve...
Heiko Röglin, Berthold Vöcking
ATAL
2010
Springer
15 years 1 months ago
Pure Nash equilibria: complete characterization of hard and easy graphical games
We consider the computational complexity of pure Nash equilibria in graphical games. It is known that the problem is NP-complete in general, but tractable (i.e., in P) for special...
Albert Xin Jiang, MohammadAli Safari