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CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 7 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
WG
2005
Springer
14 years 27 days 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...
ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
STACS
2005
Springer
14 years 27 days ago
Solving Medium-Density Subset Sum Problems in Expected Polynomial Time
The subset sum problem (SSP) (given n numbers and a target bound B, find a subset of the numbers summing to B), is one of the classical NP-hard problems. The hardness of SSP vari...
Abraham Flaxman, Bartosz Przydatek
COCO
2003
Springer
91views Algorithms» more  COCO 2003»
14 years 19 days ago
Extremal properties of polynomial threshold functions
In this paper we give new extremal bounds on polynomial threshold function (PTF) representations of Boolean functions. Our results include the following: • Almost every Boolean ...
Ryan O'Donnell, Rocco A. Servedio