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» On the Complexity of the Interlace Polynomial
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CSL
2010
Springer
15 years 6 months ago
Randomisation and Derandomisation in Descriptive Complexity Theory
We study probabilistic complexity classes and questions of derandomisation from a logical point of view. For each logic L we introduce a new logic BPL, bounded error probabilistic ...
Kord Eickmeyer, Martin Grohe
DAGSTUHL
2008
15 years 7 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
CSR
2011
Springer
14 years 9 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov
IJHPCA
2006
125views more  IJHPCA 2006»
15 years 6 months ago
Complexity Results for Collective Communications on Heterogeneous Platforms
In this paper, we consider the communications involved in the execution of a complex application, deployed on a heterogeneous platform. Such applications extensively use macro-com...
Olivier Beaumont, Loris Marchal, Yves Robert
STOC
2002
ACM
149views Algorithms» more  STOC 2002»
16 years 6 months ago
The complexity of choosing an H-colouring (nearly) uniformly at random
Cooper, Dyer and Frieze studied the problem of sampling H-colourings (nearly) uniformly at random. Special cases of this problem include sampling colourings and independent sets a...
Leslie Ann Goldberg, Steven Kelk, Mike Paterson