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ICALP
2010
Springer
13 years 9 months ago
Tight Thresholds for Cuckoo Hashing via XORSAT
We settle the question of tight thresholds for offline cuckoo hashing. The problem can be stated as follows: we have n keys to be hashed into m buckets each capable of holding a s...
Martin Dietzfelbinger, Andreas Goerdt, Michael Mit...
CORR
2002
Springer
123views Education» more  CORR 2002»
13 years 4 months ago
Survey propagation: an algorithm for satisfiability
: We study the satisfiability of randomly generated formulas formed by M clauses of exactly K literals over N Boolean variables. For a given value of N the problem is known to be m...
Alfredo Braunstein, Marc Mézard, Riccardo Z...
CORR
1999
Springer
98views Education» more  CORR 1999»
13 years 4 months ago
A variational description of the ground state structure in random satisfiability problems
A variational approach to finite connectivity spin-glass-like models is developed and applied to describe the structure of optimal solutions in random satisfiability problems. Our ...
Giulio Biroli, Rémi Monasson, Martin Weigt
RSA
2006
104views more  RSA 2006»
13 years 4 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
ICS
2010
Tsinghua U.
13 years 8 months ago
Bounds on the Quantum Satisfiability Threshold
Quantum k-SAT is the problem of deciding whether there is a n-qubit state which is perpendicular to a set of vectors, each of which lies in the Hilbert space of k qubits. Equivale...
Sergey Bravyi, Cristopher Moore, Alexander Russell