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ICALP
2010
Springer
15 years 2 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
109
Voted
ANTSW
2010
Springer
14 years 7 months ago
Theoretical Properties of Two ACO Approaches for the Traveling Salesman Problem
Ant colony optimization (ACO) has been widely used for different combinatorial optimization problems. In this paper, we investigate ACO algorithms with respect to their runtime beh...
Timo Kötzing, Frank Neumann, Heiko Rögli...
STACS
2009
Springer
15 years 2 months ago
Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials ...
Mahdi Cheraghchi, Amin Shokrollahi
FOCS
2003
IEEE
15 years 2 months ago
The Complexity of Homomorphism and Constraint Satisfaction Problems Seen from the Other Side
We give a complexity theoretic classification of homomorphism problems for graphs and, more generally, relational structures obtained by restricting the left hand side structure ...
Martin Grohe
65
Voted
CSR
2007
Springer
15 years 3 months ago
Equivalence Problems for Circuits over Sets of Natural Numbers
We investigate the complexity of equivalence problems for {∪, ∩, − , +, ×}-circuits computing sets of natural numbers. These problems were first introduced by Stockmeyer an...
Christian Glaßer, Katrin Herr, Christian Rei...