Hiding Quiet Solutions in Random Constraint Satisfaction Problems

@article{Krzakala2009HidingQS,
  title={Hiding Quiet Solutions in Random Constraint Satisfaction Problems},
  author={Florent Krzakala and Lenka Zdeborov{\'a}},
  journal={Physical review letters},
  year={2009},
  volume={102 23},
  pages={
          238701
        }
}
  • Florent Krzakala, Lenka Zdeborová
  • Published 2009
  • Medicine, Physics, Computer Science
  • Physical review letters
  • We study constraint satisfaction problems on the so-called planted random ensemble. We show that for a certain class of problems, e.g., graph coloring, many of the properties of the usual random ensemble are quantitatively identical in the planted random ensemble. We study the structural phase transitions and the easy-hard-easy pattern in the average computational complexity. We also discuss the finite temperature phase diagram, finding a close connection with the liquid-glass-solid… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 35 REFERENCES

    Phys

    • G. Semerjian, J. Stat
    • 130, 251
    • 2008
    VIEW 5 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • L. Zdeborová, F. Krzakala
    • Rev. E 76, 031131
    • 2007
    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    Eur

    • M. Mézard, G. Parisi
    • Phys. J. B 20, 217
    • 2001
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    inProc

    • S. A. Cook
    • 3rd STOC
    • 1971
    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    D. Achlioptas et al, in Proc. of AAAI-2000 Moore, H. Jia, and D. Strain, in Proc. AAAI

    • H Haanpää
    • D. Achlioptas et al, in Proc. of AAAI-2000 Moore, H. Jia, and D. Strain, in Proc. AAAI
    • 2000

    EPL

    • F Krzakala, L Zdeborová
    • EPL
    • 2008

    EPL 81

    • F. Krzakala, L. Zdeborová
    • 57005
    • 2008
    VIEW 1 EXCERPT

    Eur. Phys. J. B

    • M Mézard, G Parisi
    • Eur. Phys. J. B
    • 2001

    Europhys. Lett

    • S Franz
    • Europhys. Lett
    • 2001

    H

    VIEW 2 EXCERPTS