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» On the Complexity of Solving a Bivariate Polynomial System
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ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
13 years 11 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
13 years 11 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
IWPEC
2010
Springer
13 years 5 months ago
Multivariate Complexity Analysis of Swap Bribery
We consider the computational complexity of a problem modeling bribery in the context of voting systems. In the scenario of Swap Bribery, each voter assigns a certain price for swa...
Britta Dorn, Ildikó Schlotter
IJCAI
1997
13 years 9 months ago
Computational Complexity of Multi-way, Dataflow Constraint Problems
Although it is acknowledged that multi-way dataflow constraints are useful in interactive applications, concerns about their tractability have hindered their acceptance. Certain l...
Gilles Trombettoni, Bertrand Neveu
EUROCRYPT
2006
Springer
13 years 11 months ago
Polynomial Equivalence Problems: Algorithmic and Theoretical Aspects
The Isomorphism of Polynomials (IP) [28], which is the main concern of this paper, originally corresponds to the problem of recovering the secret key of a C scheme [26]. Besides, t...
Jean-Charles Faugère, Ludovic Perret