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CORR
1998
Springer
105views Education» more  CORR 1998»
14 years 11 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
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...
ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
14 years 9 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
15 years 5 months 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»
15 years 5 months 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