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ICALP
2007
Springer
14 years 4 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 2 months 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 10 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 10 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
JCT
2011
93views more  JCT 2011»
13 years 25 days ago
A graph-theoretic approach to quasigroup cycle numbers
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
Brent Kerby, Jonathan D. H. Smith