Statistical mechanics of the random [Formula Presented]-satisfiability model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 2, 1997, Pages 1357-1370

  Zecchina, Riccardo ^a   Monasson, Rémi ^a,b  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243491327     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.1357     Document Type: Article

References (44)

1. M. Mézard, G. Parisi, and M A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
2. J A. Hertz, A. Krogh, and R G. Palmer, Introduction to the Theory of Neural Computation (Addison-Wesley, Redwood City, CA, 1991).
3. S. Kirkpatrick and B. Selman, Science264, 1297 (1994).SCIEAS
4. Artif. Intel. 81 (1-2) (1996), special issue on Topic, edited by T. Hogg, B.A. Huberman, and C. Williams.
5. R. Monasson and R. Zecchina, Phys. Rev. Lett.76, 3881 (1996)PRLTAO
6. M. Garey and D.S. Johnson, Computers and Intractability; A Guide to the Theory of NP-completeness (W.H. Freeman and Co., San Francisco, 1979).
7. S. Kirkpatrick, C.D. Gelatt, Jr., and M P. Vecchi, Science220, 339 (1983).SCIEAS
8. B. Selman and S. Kirkpatrick, Artif. Intel.81, 273 (1996).AINTBB
9. H. Orland, J. Phys. (Paris)46, L763 (1985).JOPQAG
10. M. Mézard and G. Parisi, J. Phys. (Paris) Lett.46, L771 (1985)
11. J. Phys. (Paris)47, 1285 (1986).JOPQAG
12. I. Kanter and H. Sompolinsky, Phys. Rev. Lett.58, 164 (1987).PRLTAO
13. C. De Dominicis and P. Mottishaw, J. Phys. (Paris)47, 2021 (1986)
14. C. De Dominicis and P. Mottishaw, Europhys. Lett.3, 87 (1987).EULEEJ
15. C. De Dominicis and P. Mottishaw, J. Phys. A20, L375 (1987).JPHAC5
16. C. De Dominicis and P. Mottishaw, J. Phys. A20, L1267 (1987); JPHAC5
17. K.Y.M. Wong and D. Sherrington, 21, L459 (1988).
18. S. Kirkpatrick, G. Gyorgyi, N. Tishby, and L. Troyansky, in Adv. Neural Information Processing Syst. 6 (1994), special issue on Topic, edited by J. Cowan, G. Tesauro, and J. Alspector.
19. S A. Cook, in Proceedings of the 3rd Annual ACM Symposium on Theory of Computing (Association for Computing Machines, New York, 1971), p. 151.
20. A. Kamath, R. Motwani, K. Palem, and P. Spirakis, Random Struct. and Algorithms7, 59 (1995).
21. B. Aspvall, M F. Plass, and R E. Tarjan, Inf. Process. Lett.8, 121 (1979).IFPLAT
22. A. Goerdt, J. Comput. Syst. Sci.53, 469 (1996)
23. V. Chvàtal and B. Reed (unpublished).
24. O. Dubois, Theor. Comput. Sci.81, 49 (1991)
25. O. Dubois and J. Carlier, 81, 65 (1991).
26. O. Dubois and Y. Boufkhad (unpublished).
27. M. Yannakakis (unpublished).
28. A Z. Broder, A M. Frieze, and E. Upfal (unpublished).
29. G. Baskaran, Y. Fu, and P W. Anderson, J. Stat. Phys.45, 1 (1986).JSTPBS
30. M. Mezard and G. Parisi, Europhys. Lett.3, 1067 (1987).EULEEJ
31. S. Katsura, Prog. Theor. Phys.87, 139 (1986)
32. K.Y.M. Wong, D. Sherrington, P. Mottishaw, D. Dewar, and C. De Dominicis, J. Phys. A21, L99 (1988); JPHAC5
33. M.J. de Oliveira, Physica A148, 567 (1988).PHYADX
34. O. Dubois (private communication).
35. E. Gardner, J. Phys. A21, 257 (1988); JPHAC5
36. E. Gardner and B. Derrida, 21, 271 (1988).
37. L. Viana and A. Bray, J. Phys. C18, 3037 (1985).JPSOAW
38. R. Monasson, R. Zecchina, S. Kirkpatrick, B. Selmann, and L. Troyansky (unpublished).
39. Note that the existence of a first order transition has already been suggested from the calculation of the first few (integer) moments of the partition function; see L. Troyansky and N. Tishby (unpublished).
40. W. Krauth and M. Mézard, J. Phys. (Paris)50, 3057 (1989).JOPQAG
41. G. Parisi and M. Virasoro, J. Phys. (Paris)50, 3317 (1989)
42. T R. Kirkpatrick and D. Thirumalai, Phys. Rev. B36, 5388 (1987).PRBMDO
43. R. Monasson and R. Zecchina, Phys. Rev. Lett.75, 2432 (1995)
44. 76, 2205(E) (1996).