Journal of Physics: Conference Series
Volume 95
Number 1
Create an alert
RSS this journal
F Krząkała and L Zdeborová 2008 J. Phys.: Conf. Ser. 95 012012 doi:10.1088/1742-6596/95/1/012012
Phase transitions and computational difficulty in random constraint satisfaction problems
F Krząkała1 and L Zdeborová
Show affiliations- [1]
-
Cook S 1971 Proc. 3rd Ann. ACM Symp. on Theory of Computing (ACM, New York) p 151-158
-
Papadimitrious C H 1994 Computational Complexity (Addison-Wesley, Reading, MA)
-
Garey M R and Johnson D S 1979 Computers and Intractability (Freeman, San Francisco)
-
Dubois O, Monasson R, Selman B and Zecchina R 2001 special issue Theor. Comput. Sci. 265
-
Hartmann A K and Weigt M 2005 Phase Transitions in Combinatorial Optimization Problems (Wiley-VCH, Berlin)
CrossRef
- [2]
-
Mézard M, Parisi G and Virasoro M A 1997 Spin-glass Theory and Beyond (Singapore: World Scientific)
- [3]
-
Monasson R, Zecchina R, Kirkpatrick S, Selman B and Troyansky L 1999 Nature 400 133
CrossRef
- [4]
-
Mézard M, Parisi G and Zecchina R 2002 Science 297 812
CrossRef PubMed
-
Mézard M and Zecchina R 2002 Phys. Rev. E 66 056126
CrossRef
-
Braunstein A, Mézard M and Zecchina R 2005 Random Struct. Algorithms 27 201
CrossRef
- [5]
-
Friedgut E and Bourgain J 1999 J. the American Math. Society 12 4
-
Achlioptas D and Friedgut E 1999 Random Struct. Algorithms 14 1
CrossRef
- [6]
-
Cheeseman P, Kanefsky B and Waylor W M 1991 Proc. Twelfth Int. Joint Conf. on Artificial Intelligence (Sydney, Australia)
- [7]
-
Selman B and Kirkpatrick S 1996 Artif. Intell. 81 273
CrossRef
-
Selman B, Mitchell D G and Levesque H J 1996 ibid. 81 17
- [8]
-
Kanter I et Sompolinsky H 1987 J. Phys. A: Math. Gen. 20 L673
IOPscience
-
Gross D J, Kanter I and Sompolinsky H 1985 Phys. Rev. Lett. 55 304
CrossRef PubMed
- [9]
-
Mézard M and Parisi G 2001 Eur. Phys. J. B 20 217
CrossRef
-
2003 J. Stat. Phys 111 1-2 1
- [10]
-
Yedidia J S, Freeman W T and Weiss Y 2003 Exploring Artificial Intelligence in the New Millennium (Science and Technology Books) Chap 8 p 239-236 ISBN 1558608117
- [11]
-
Pearl J 1988 Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference 2nd (Morgan Kaufmann Publishers, San Francisco)
- [12]
-
Biroli G, Monasson R and Weigt M 2000 Eur. Phys. J. B 14 551
CrossRef
- [13]
-
Mézard M, Mora T and Zecchina R 2005 Phys. Rev. Lett. 94 197205
CrossRef PubMed
-
Achlioptas D and Ricci-Tersenghi F 2007 Proc. 38th annual ACM Symp. on Theory of computing (Seattle WA)
- [14]
-
Mulet R, Pagnani A, Weigt M and Zecchina R 2002 Phys. Rev. Lett. 89 268701
CrossRef PubMed
-
Braunstein A, Mulet R, Pagnani A, Weigt M and Zecchina R 2003 Phys. Rev. E 68 036702
CrossRef
- [15]
-
Krzakala F, Pagnani A and Weigt M 2004 Phys. Rev. E 70 046705
CrossRef
- [16]
-
Mézard M, Palassini M and Rivoire O 2005 Phys. Rev. Lett. 95 200202
CrossRef PubMed
- [17]
-
Mézard M and Montanari A 2006 J. Stat. Phys. 124 1317
CrossRef
- [18]
-
Krzakala F, Montanari A, Ricci-Tersenghi F, Semerjian G and Zdeborová L 2007 Proc. Natl. Acad. Sci. 104 10318
CrossRef PubMed
- [19]
-
Krzakala F and Kurchan J 2007 Phys. Rev. E 76 021122
CrossRef
- [20]
-
Zdeborová L and Krzakala F 2007 Phys. Rev. E 76 031131
CrossRef
- [21]
-
Semerjian G 2007 On the freezing of variables in random constraint satisfaction problems Preprint arXiv:0705.2147 J. Stat. Phys., on press
Preprint
- [22]
-
Montanari A, Ricci-Tersenghi F, Semerjian F 2007 Solving Constraint Satisfaction Problems through Belief Propagation-guided decimation Preprint arXiv:0709.1667
Preprint
- [23]
-
Bandyopadhyay A and Gamarnik D 2006 ACM-SIAM Symp. on Discrete Algorithms p 890
-
Jonasson J 2002 Statistics Probability Lett. 57 243
CrossRef
- [24]
-
Montanari A and Semerjian G 2006 J. Stat. Phys. 124 103
CrossRef
- [25]
-
Luczak T 1991 Combinatorica 11 45
CrossRef
-
Achlioptas D, Naor A and Peres Y 2005 Nature 435 759
CrossRef PubMed
- [26]
-
Franz S and Leone M 2003 J. Stat. Phys. 111 535
CrossRef
- [27]
-
van Mourik J and Saad D 2002 Phys. Rev. E 66 056120
CrossRef
- [28]
-
Gross D J and Mézard M 1984 Nucl. Phys. B 240 4 431
-
Kirkpatrick T, Thirumalai D and Wolynes P 1989 Phys. Rev. A 40 1045
CrossRef
-
Mézard M and Parisi G 1999 Phys. Rev. Lett. 82 747
CrossRef
- [29]
-
Krzakala F and Zdeborová L 2007 Potts Glass on Random Graphs Preprint arXiv:0710.3336
Preprint
- [30]
-
Gardner E 1985 Nucl. Phys. B 257 747
CrossRef
- [31]
-
Leuzzi L and Parisi G 2001 J. Stat. Phys. 103 679
CrossRef
-
Crisanti A, Leuzzi L and Parisi G 2002 J. Phys. A: Math. Gen. 35 481
IOPscience
- [32]
-
Montanari A, Parisi G and Ricci-Tersenghi F 2004 J. Phys. A: Math. Gen. 37 2073
IOPscience
-
Mertens S, Mézard M and Zecchina R 2003 Random Struct. Algorithms 28 3 340
- [33]
-
Liu A and Nagel S 1998 Nature 396 21
CrossRef
-
O'Hern C S, Silbert L E, Liu A and Nagel S 2003 Phys. Rev. E 68 011306
CrossRef
-
Wyart M 2005 Annales de Physique 30 3
CrossRef
- [34]
-
Ardelius J and Aurell E 2006 Phys. Rev. E 74 037702
CrossRef
- [35]
-
Chavas J, Furtlehner C, Mézard M and Zecchina R 2005 J. Stat. Mech. P11016
IOPscience
-
Phase transitions and computational difficulty in random constraint satisfaction problems
F Krząkała and L Zdeborová 2008 J. Phys.: Conf. Ser. 95 012012
-
Using the generalised invariant formalism: a class of conformally flat pure radiation metrics with a negative cosmological constant
S Brian Edgar and M P Machado Ramos 2007 J. Phys.: Conf. Ser. 66 012013
-
On the structure of the Mandelbar set
W D Crowe et al 1989 Nonlinearity 2 541
-
Phase-conjugated mirror-induced oscillations outside the rotating-wave approximation
S S Hassan and O Frege 2002 J. Opt. B: Quantum Semiclass. Opt. 4 S218
-
Combining GW calculations with exact-exchange density-functional theory: an analysis of valence-band photoemission for compound semiconductors
Patrick Rinke et al 2005 New J. Phys. 7 126
-
Integrability of the gauged linear sigma model for AdS5 × S5
William D. Linch III and Brenno Carlini Vallilo JHEP11(2009)007
-
Carbon payback times for crop-based biofuel expansion in the tropics: the effects of changing yield and technology
Holly K Gibbs et al 2008 Environ. Res. Lett. 3 034001
-
Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields
Urs Schreiber JHEP10(2004)035
-
Strongly interacting two-dimensional Dirac fermions
L.-K. Lim et al 2009 EPL 88 36001
-
Doubling of background solution in 5D stabilized brane world model
Mikhail N. Smolyakov JHEP11(2009)077
Users also read
What's this?This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.
- Statistical mechanics of the knapsack problem
- Re'class'ification of 'quant'ified classical simulated annealing
- Wide-angle photoelectric integrating flashmeter
= 2 multicenter solutionsRelated review articles
What's this? View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.