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» Polynomial Interpretations and the Complexity of Algorithms
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DAGSTUHL
2008
15 years 8 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...
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
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 12 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
PKC
2005
Springer
114views Cryptology» more  PKC 2005»
16 years 3 days ago
Cryptanalysis of the Tractable Rational Map Cryptosystem
In this paper, we present the cryptanalysis of a public key scheme based on a system of multivariate polynomial equations, the ”tractable rational map” cryptosystem. We show co...
Antoine Joux, Sébastien Kunz-Jacques, Fr&ea...
CIAC
2010
Springer
263views Algorithms» more  CIAC 2010»
16 years 4 months ago
The Complexity of Computing Minimal Unidirectional Covering Sets
Abstract. Given a binary dominance relation on a set of alternatives, a common thread in the social sciences is to identify subsets of alternatives that satisfy certain notions of ...
Dorothea Baumeister, Felix Brandt, Felix Fischer, ...