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DCG
2007
58views more  DCG 2007»
15 years 6 months ago
Harmonic Algebraic Curves and Noncrossing Partitions
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
Jeremy L. Martin, David Savitt, Ted Singer
JSAT
2008
85views more  JSAT 2008»
15 years 6 months ago
Parallel SAT Solving using Bit-level Operations
We show how to exploit the 32/64 bit architecture of modern computers to accelerate some of the algorithms used in satisfiability solving by modifying assignments to variables in ...
Marijn Heule, Hans van Maaren
JSC
2008
78views more  JSC 2008»
15 years 6 months ago
Rational Univariate Reduction via toric resultants
We describe algorithms for solving a given system of multivariate polynomial equations via the Rational Univariate Reduction (RUR). We compute the RUR from the toric resultant of ...
Koji Ouchi, John Keyser
JSC
2008
162views more  JSC 2008»
15 years 6 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...
DKE
2007
101views more  DKE 2007»
15 years 6 months ago
Parameterized pattern queries
We introduce parameterized pattern queries as a new paradigm to extend traditional pattern expressions over sequence databases. A parameterized pattern is essentially a string mad...
Cédric du Mouza, Philippe Rigaux, Michel Sc...