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COMPGEOM
2005
ACM
13 years 9 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
ICALP
2007
Springer
14 years 1 months ago
Universal Algebra and Hardness Results for Constraint Satisfaction Problems
We present algebraic conditions on constraint languages Γ that ensure the hardness of the constraint satisfaction problem CSP(Γ) for complexity classes L, NL, P, NP and ModpL. Th...
Benoit Larose, Pascal Tesson
CRYPTO
2001
Springer
152views Cryptology» more  CRYPTO 2001»
14 years 6 days ago
Secure Distributed Linear Algebra in a Constant Number of Rounds
Consider a network of processors among which elements in a finite field K can be verifiably shared in a constant number of rounds. Assume furthermore constant-round protocols ar...
Ronald Cramer, Ivan Damgård
JEA
2008
88views more  JEA 2008»
13 years 7 months ago
Multilevel algorithms for linear ordering problems
Linear ordering problems are combinatorial optimization problems which deal with the minimization of different functionals in which the graph vertices are mapped onto (1, 2, ..., ...
Ilya Safro, Dorit Ron, Achi Brandt
JGAA
2006
72views more  JGAA 2006»
13 years 7 months ago
A Multilevel Algorithm for the Minimum 2-sum Problem
In this paper we introduce a direct motivation for solving the minimum 2-sum problem, for which we present a linear-time algorithm inspired by the Algebraic Multigrid approach whi...
Ilya Safro, Dorit Ron, Achi Brandt