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» Factorization formulas for MacDonald polynomials
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CASC
2005
Springer
202views Mathematics» more  CASC 2005»
13 years 10 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
13 years 11 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»
13 years 10 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»
13 years 4 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
14 years 5 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