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» Factorization formulas for MacDonald polynomials
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CASC
2005
Springer
202views Mathematics» more  CASC 2005»
15 years 3 months ago
Cayley-Dixon Resultant Matrices of Multi-univariate Composed Polynomials
The behavior of the Cayley-Dixon resultant construction and the structure of Dixon matrices are analyzed for composed polynomial systems constructed from a multivariate system in w...
Arthur D. Chtcherba, Deepak Kapur, Manfred Minimai...
FOCS
2007
IEEE
15 years 4 months ago
Polylogarithmic Independence Can Fool DNF Formulas
We show that any k-wise independent probability distribution on {0, 1}n O(m2.22− √ k/10)fools any boolean function computable by an m-clause DNF (or CNF) formula on n variable...
Louay Bazzi
SAT
2005
Springer
124views Hardware» more  SAT 2005»
15 years 3 months ago
An Improved Upper Bound for SAT
We give a randomized algorithm for testing satisfiability of Boolean formulas in conjunctive normal form with no restriction on clause length. Its running time is at most 2n(1−1...
Evgeny Dantsin, Alexander Wolpert
JSC
2006
85views more  JSC 2006»
14 years 9 months ago
Fraction-free row reduction of matrices of Ore polynomials
In this paper we give formulas for performing row reduction of a matrix of Ore polynomials in a fraction-free way. The reductions can be used for finding the rank and left nullspa...
Bernhard Beckermann, Howard Cheng, George Labahn
DAC
2001
ACM
15 years 10 months ago
Factoring and Recognition of Read-Once Functions using Cographs and Normality
An approach for factoring general boolean functions was described in [15, 16] which is based on graph partitioning algorithms. In this paper, we present a very fast algorithm for ...
Martin Charles Golumbic, Aviad Mintz, Udi Rotics