On the survey-propagation equations for the random K-satisfiability problem

Details On the survey-propagation equations for the random K-satisfiability problem On the survey-propagation equations for the random K-satisfiability problem

2002-12-07

arxiv.org/abs/cs/0212009v1

Computer Science

Computational Complexity

13 pages, 3 figures

Scientific paper

In this note we study the existence of a solution to the survey-propagation equations for the random K-satisfiability problem for a given instance. We conjecture that when the number of variables goes to infinity, the solution of these equations for a given instance can be approximated by the solution of the corresponding equations on an infinite tree. We conjecture (and we bring numerical evidence) that the survey-propagation equations on the infinite tree have an unique solution in the suitable range of parameters.

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