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» Complexity Considerations, cSAT Problem Lower Bound
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RSA
2006
104views more  RSA 2006»
13 years 8 months ago
The satisfiability threshold for randomly generated binary constraint satisfaction problems
Abstract. We study two natural models of randomly generated constraint satisfaction problems. We determine how quickly the domain size must grow with n to ensure that these models ...
Alan M. Frieze, Michael Molloy
JCO
2007
56views more  JCO 2007»
13 years 8 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang
STOC
2001
ACM
151views Algorithms» more  STOC 2001»
14 years 9 months ago
On the cell probe complexity of membership and perfect hashing
We study two fundamental static data structure problems, membership and perfect hashing, in Yao's cell probe model. The first space and bit probe optimal worst case upper bou...
Rasmus Pagh
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 6 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
JC
2007
94views more  JC 2007»
13 years 8 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou