Theory of Computing Systems

, Volume 52, Issue 2, pp 221–270 | Cite as

Parameterized Random Complexity

  • Juan Andrés Montoya
  • Moritz MüllerEmail author


The classes W[P] and W[1] are parameterized analogues of NP in that they can be characterized by machines with restricted existential nondeterminism. These machine characterizations give rise to two natural notions of parameterized randomized algorithms that we call W[P]-randomization and W[1]-randomization. This paper develops the corresponding theory.


Parameterized complexity theory Random complexity Probability amplification Derandomization Parameterized counting complexity Uniqueness problems 



We thank again Jörg Flum, the advisor of our PhD Theses. The second author thanks the John Templeton Foundation for its support under Grant #13152, The Myriad Aspects of Infinity and the FWF (Austrian Research Fund) for its support under Grant P23989-N13.


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Escuela de MatemáticasUniversidad industrial de SantanderBucaramangaColombia
  2. 2.Kurt Gödel Research CenterUniversity of ViennaViennaAustria

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