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Computer Science > Computational Complexity

arXiv:cs/0212009 (cs)
[Submitted on 7 Dec 2002]

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

Authors:Giorgio Parisi
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Abstract: 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.
Comments: 13 pages, 3 figures
Subjects: Computational Complexity (cs.CC); Disordered Systems and Neural Networks (cond-mat.dis-nn)
ACM classes: G.3, G.2.1
Cite as: arXiv:cs/0212009 [cs.CC]
  (or arXiv:cs/0212009v1 [cs.CC] for this version)
  https://doi.org/10.48550/arXiv.cs/0212009

Submission history

From: Giorgio Parisi [view email]
[v1] Sat, 7 Dec 2002 22:01:27 UTC (23 KB)
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