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» Polynomial Interpretations and the Complexity of Algorithms
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WG
2005
Springer
15 years 5 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
15 years 5 months ago
Absolute polynomial factorization in two variables and the knapsack problem
A recent algorithmic procedure for computing the absolute factorization of a polynomial P(X, Y ), after a linear change of coordinates, is via a factorization modulo X3 . This was...
Guillaume Chèze
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
15 years 3 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
ICPPW
2005
IEEE
15 years 5 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde
CORR
2010
Springer
95views Education» more  CORR 2010»
14 years 12 months ago
Deciding the finiteness of the number of simple permutations contained in a wreath-closed class is polynomial
We present an algorithm running in time O(n log n) which decides if a wreathclosed permutation class Av(B) given by its finite basis B contains a finite number of simple permutati...
Frédérique Bassino, Mathilde Bouvel,...