Frozen variables in random boolean constraint satisfaction problems

M Molloy, R Restrepo - Proceedings of the Twenty-Fourth Annual ACM-SIAM …, 2013 - SIAM
We determine the exact freezing threshold, rf, for a family of models of random boolean
constraint satisfaction problems, including NAE-SAT and hypergraph 2-colouring, when the …

Random formulas have frozen variables

D Achlioptas, F Ricci-Tersenghi - SIAM Journal on Computing, 2009 - SIAM
For a large number of random constraint satisfaction problems, such as random k-SAT and
random graph and hypergraph coloring, there exist very good estimates of the largest …

On the solution-space geometry of random constraint satisfaction problems

D Achlioptas, F Ricci-Tersenghi - Proceedings of the thirty-eighth annual …, 2006 - dl.acm.org
For a number of random constraint satisfaction problems, such as random k-SAT and
random graph/hypergraph coloring, there are very good estimates of the largest constraint …

Random k‐SAT: Two Moments Suffice to Cross a Sharp Threshold

D Achlioptas, C Moore - SIAM Journal on Computing, 2006 - SIAM
Many NP-complete constraint satisfaction problems appear to undergo a “phase transition”
from solubility to insolubility when the constraint density passes through a critical threshold …

Constraint satisfaction by survey propagation

A Braunstein, M Mézard, M Weigt… - arXiv preprint cond-mat …, 2002 - arxiv.org
Survey Propagation is an algorithm designed for solving typical instances of random
constraint satisfiability problems. It has been successfully tested on random 3-SAT and …

Going after the k-SAT threshold

A Coja-Oghlan, K Panagiotou - Proceedings of the forty-fifth annual ACM …, 2013 - dl.acm.org
Random k-SAT is the single most intensely studied example of a random constraint
satisfaction problem. But despite substantial progress over the past decade, the threshold for …

Solution clustering in random satisfiability

D Achlioptas - The European Physical Journal B, 2008 - Springer
For a large number of random constraint satisfaction problems, such as random k-SAT and
random graph and hypergraph coloring, we have very good estimates of the largest …

The condensation transition in random hypergraph 2-coloring

A Coja-Oghlan, L Zdeborová - Proceedings of the twenty-third annual ACM …, 2012 - SIAM
For many random constraint satisfaction problems such as random satisfiability or random
graph or hypergraph coloring, the best current estimates of the threshold for the existence of …

On the solution‐space geometry of random constraint satisfaction problems

D Achlioptas, A Coja‐Oghlan… - Random Structures & …, 2011 - Wiley Online Library
For various random constraint satisfaction problems there is a significant gap between the
largest constraint density for which solutions exist and the largest density for which any …

Reconstruction and clustering in random constraint satisfaction problems

A Montanari, R Restrepo, P Tetali - SIAM Journal on Discrete Mathematics, 2011 - SIAM
Random instances of constraint satisfaction problems (CSPs) appear to be hard for all
known algorithms when the number of constraints per variable lies in a certain interval …