Quiet planting in the locked constraints satisfaction problems

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We study the planted ensemble of locked constraint satisfaction problems. We describe the connection between the random and planted ensembles. The use of the cavity method is combined with arguments from reconstruction on trees and first and second moment considerations; in particular the connection with the reconstruction on trees appears to be crucial. Our main result is the location of the hard region in the planted ensemble, thus providing hard satisfiable benchmarks. In a part of that hard region instances have with high probability a single satisfying assignment.

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Zdeborova, Lenka & Krzakala, Florent January 1, 2009.

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We study the planted ensemble of locked constraint satisfaction problems. We describe the connection between the random and planted ensembles. The use of the cavity method is combined with arguments from reconstruction on trees and first and second moment considerations; in particular the connection with the reconstruction on trees appears to be crucial. Our main result is the location of the hard region in the planted ensemble, thus providing hard satisfiable benchmarks. In a part of that hard region instances have with high probability a single satisfying assignment.

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  • Journal Name: SIAM Journal on Discrede Mathematics

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  • Report No.: LA-UR-09-01115
  • Report No.: LA-UR-09-1115
  • Grant Number: AC52-06NA25396
  • Office of Scientific & Technical Information Report Number: 956457
  • Archival Resource Key: ark:/67531/metadc930449

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  • January 1, 2009

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 4:35 p.m.

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Zdeborova, Lenka & Krzakala, Florent. Quiet planting in the locked constraints satisfaction problems, article, January 1, 2009; [New Mexico]. (digital.library.unt.edu/ark:/67531/metadc930449/: accessed October 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.