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» Polynomial Interpretations and the Complexity of Algorithms
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DAGSTUHL
2008
15 years 1 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»
14 years 11 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 5 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»
15 years 5 months 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»
15 years 9 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, ...