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We show that the Survey Propagation-guided decimation algorithm fails to find satisfying assignments on random instances of the "Not-All-Equal-$K$-SAT" problem if the number of message passing iterations is bounded by a constant independent of the size of the instance and the clause-to-variable ratio is above $(1+o_K(1)){2^{K-1}\over K}\log^2 K$ for sufficiently large $K$.
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A. Coja-Oghlan and C. Efthymiou, On independent sets in random graphs , Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2011, pp. 136–144
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2009
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Federico Ricci-Tersenghi and Guilhem Semerjian, On the cavity method for decimated random constraint satisfaction problems and the analysis of belief propagation guided decimation algorithms , Journal of Statistical Mechanics: Theory and Experiment 2009
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Amin Coja-Oghlan, A better algorithm for random k-sat , SIAM Journal on Computing 39
2010
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