메뉴 건너뛰기




Volumn 393, Issue 1-3, 2008, Pages 260-279

Pairs of SAT-assignments in random Boolean formulæ

Author keywords

Clustering; Satisfiability

Indexed keywords

BOOLEAN FUNCTIONS; COMPUTATIONAL GEOMETRY; COMPUTATIONAL MECHANICS; HEURISTIC ALGORITHMS; PROBLEM SOLVING;

EID: 39649115183     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2008.01.005     Document Type: Article
Times cited : (27)

References (38)
  • 1
    • 85059770931 scopus 로고    scopus 로고
    • Stephen Cook, The complexity of theorem proving procedures, in: Proceedings of the Third Annual ACM Symposium on Theory of Computing, 1971, pp. 151-158
    • Stephen Cook, The complexity of theorem proving procedures, in: Proceedings of the Third Annual ACM Symposium on Theory of Computing, 1971, pp. 151-158
  • 3
    • 4243491327 scopus 로고    scopus 로고
    • Statistical mechanics of the random K-satisfiability model
    • Monasson R., and Zecchina R. Statistical mechanics of the random K-satisfiability model. Phys. Rev. E 56 (1997) 1357-1370
    • (1997) Phys. Rev. E , vol.56 , pp. 1357-1370
    • Monasson, R.1    Zecchina, R.2
  • 6
    • 0028434242 scopus 로고
    • Critical behavior in the satisfiability of random Boolean expressions
    • Kirkpatrick S., and Selman B. Critical behavior in the satisfiability of random Boolean expressions. Science 264 (1994) 1297-1301
    • (1994) Science , vol.264 , pp. 1297-1301
    • Kirkpatrick, S.1    Selman, B.2
  • 7
    • 0033536221 scopus 로고    scopus 로고
    • Computational complexity from 'characteristic' phase transitions
    • Monasson R., Zecchina R., Kirkpatrick S., Selman B., and Troyanski L. Computational complexity from 'characteristic' phase transitions. Nature 400 (1999) 133-137
    • (1999) Nature , vol.400 , pp. 133-137
    • Monasson, R.1    Zecchina, R.2    Kirkpatrick, S.3    Selman, B.4    Troyanski, L.5
  • 8
    • 0033458154 scopus 로고    scopus 로고
    • Sharp Thresholds of Graph Properties, and the k-sat Problem
    • An appendix by J. Bourgain
    • Friedgut E. Sharp Thresholds of Graph Properties, and the k-sat Problem. J. Amer. Math. Soc. 12 4 (1999) 1017-1054 An appendix by J. Bourgain
    • (1999) J. Amer. Math. Soc. , vol.12 , Issue.4 , pp. 1017-1054
    • Friedgut, E.1
  • 9
    • 39649089011 scopus 로고    scopus 로고
    • L.M. Kirousis, E. Kranakis, D. Krizanc, A better upper bound for the unsatisfiability threshold, Technical Report TR-96-09, School of Computer Science, Carleton University, 1996
    • L.M. Kirousis, E. Kranakis, D. Krizanc, A better upper bound for the unsatisfiability threshold, Technical Report TR-96-09, School of Computer Science, Carleton University, 1996
  • 10
    • 0001691345 scopus 로고    scopus 로고
    • A general upper bound for the satisfiability threshold of random r-sat formulae
    • Dubois O., and Boufkhad Y. A general upper bound for the satisfiability threshold of random r-sat formulae. J. Algorithms 24 2 (1997) 395-420
    • (1997) J. Algorithms , vol.24 , Issue.2 , pp. 395-420
    • Dubois, O.1    Boufkhad, Y.2
  • 11
    • 0036957620 scopus 로고    scopus 로고
    • The asymptotic order of the random k-SAT threshold
    • Achlioptas D., and Moore C. The asymptotic order of the random k-SAT threshold. Proc. Found. Comput. Sci. (2002) 779-788
    • (2002) Proc. Found. Comput. Sci. , pp. 779-788
    • Achlioptas, D.1    Moore, C.2
  • 13
    • 0038401954 scopus 로고    scopus 로고
    • The Bethe lattice spin glass revisited
    • The cavity method at zero temperature, J. Stat. Phys. 111 (2003) 1-34
    • Mézard M., and Parisi G. The Bethe lattice spin glass revisited. Eur. Phys. J. B 20 (2001) 217-233 The cavity method at zero temperature, J. Stat. Phys. 111 (2003) 1-34
    • (2001) Eur. Phys. J. B , vol.20 , pp. 217-233
    • Mézard, M.1    Parisi, G.2
  • 14
    • 37649031218 scopus 로고    scopus 로고
    • Random K-satisfiability problem: From an analytic solution to an efficient algorithm
    • Mézard M., and Zecchina R. Random K-satisfiability problem: From an analytic solution to an efficient algorithm. Phys. Rev. E 66 (2002) 056126
    • (2002) Phys. Rev. E , vol.66 , pp. 056126
    • Mézard, M.1    Zecchina, R.2
  • 15
    • 0037008520 scopus 로고    scopus 로고
    • Analytic and algorithmic solution of random satisfiability problems
    • Mézard M., Parisi G., and Zecchina R. Analytic and algorithmic solution of random satisfiability problems. Science 297 (2002) 812-815
    • (2002) Science , vol.297 , pp. 812-815
    • Mézard, M.1    Parisi, G.2    Zecchina, R.3
  • 18
    • 0242481661 scopus 로고    scopus 로고
    • On the nature of the low-temperature phase in discontinuous mean-field spin glasses
    • Montanari A., and Ricci-Tersenghi F. On the nature of the low-temperature phase in discontinuous mean-field spin glasses. Eur. Phys. J. B 33 (2003) 339-346
    • (2003) Eur. Phys. J. B , vol.33 , pp. 339-346
    • Montanari, A.1    Ricci-Tersenghi, F.2
  • 19
    • 1342304916 scopus 로고    scopus 로고
    • Instability of one-step replica-symmetry-broken phase in satisfiability problems
    • Montanari A., Parisi G., and Ricci-Tersenghi F. Instability of one-step replica-symmetry-broken phase in satisfiability problems. J. Phys. A 37 (2004) 2073-2091
    • (2004) J. Phys. A , vol.37 , pp. 2073-2091
    • Montanari, A.1    Parisi, G.2    Ricci-Tersenghi, F.3
  • 20
    • 21144441770 scopus 로고    scopus 로고
    • A study of pure random walk on random satisfiability problems with "physical" methods
    • Proceedings of the SAT 2003 Conference. Giunchiglia E., and Tacchella A. (Eds), Springer
    • Semerjian G., and Monasson R. A study of pure random walk on random satisfiability problems with "physical" methods. In: Giunchiglia E., and Tacchella A. (Eds). Proceedings of the SAT 2003 Conference. Lecture Notes in Computer Science vol. 2919 (2004), Springer 120-134
    • (2004) Lecture Notes in Computer Science , vol.2919 , pp. 120-134
    • Semerjian, G.1    Monasson, R.2
  • 22
    • 0242663429 scopus 로고    scopus 로고
    • Polynomial iterative algorithms for coloring and analyzing random graphs
    • Braunstein A., Mulet R., Pagnani A., Weigt M., and Zecchina R. Polynomial iterative algorithms for coloring and analyzing random graphs. Phys. Rev. E 68 (2003) 036702
    • (2003) Phys. Rev. E , vol.68 , pp. 036702
    • Braunstein, A.1    Mulet, R.2    Pagnani, A.3    Weigt, M.4    Zecchina, R.5
  • 23
    • 37649032703 scopus 로고    scopus 로고
    • Frozen glass phase in the multi-index matching problem
    • Martin O.C., Mézard M., and Rivoire O. Frozen glass phase in the multi-index matching problem. Phys. Rev. Lett. 93 (2004) 217205
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 217205
    • Martin, O.C.1    Mézard, M.2    Rivoire, O.3
  • 24
    • 0000210350 scopus 로고    scopus 로고
    • The glassy phase of Gallager codes
    • Montanari A. The glassy phase of Gallager codes. Eur. Phys. J. B 23 (2001) 121-136
    • (2001) Eur. Phys. J. B , vol.23 , pp. 121-136
    • Montanari, A.1
  • 26
    • 0242565431 scopus 로고    scopus 로고
    • Two solutions to diluted p-spin models and XORSAT problems
    • Mézard M., Ricci-Tersenghi F., and Zecchina R. Two solutions to diluted p-spin models and XORSAT problems. J. Stat. Phys. 111 (2003) 505-533
    • (2003) J. Stat. Phys. , vol.111 , pp. 505-533
    • Mézard, M.1    Ricci-Tersenghi, F.2    Zecchina, R.3
  • 27
    • 3543003164 scopus 로고    scopus 로고
    • Rigorous decimation-based construction of ground pure states for spin-glass models on random lattices
    • Cocco S., Dubois O., Mandler J., and Monasson R. Rigorous decimation-based construction of ground pure states for spin-glass models on random lattices. Phys. Rev. Lett. 90 (2003) 047205
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 047205
    • Cocco, S.1    Dubois, O.2    Mandler, J.3    Monasson, R.4
  • 28
    • 0036957919 scopus 로고    scopus 로고
    • O. Dubois, J. Mandler, The 3-XORSAT threshold, Proceedings of the 43th Annual IEEE Symposium on Foundations of Computer Science, Vancouver, 2002, pp. 769-778
    • O. Dubois, J. Mandler, The 3-XORSAT threshold, Proceedings of the 43th Annual IEEE Symposium on Foundations of Computer Science, Vancouver, 2002, pp. 769-778
  • 29
    • 27144439070 scopus 로고    scopus 로고
    • Clustering of solutions in the random satisfiability problem
    • Mézard M., Mora T., and Zecchina R. Clustering of solutions in the random satisfiability problem. Phys. Rev. Lett. 94 (2005) 197205
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 197205
    • Mézard, M.1    Mora, T.2    Zecchina, R.3
  • 30
    • 33748117546 scopus 로고    scopus 로고
    • D. Achlioptas, F. Ricci-Tersenghi, On the solution-space geometry of random constraint satisfaction problems, in: Proc. 38th Annual ACM Symposium on Theory of Computing, 2006, p. 130
    • D. Achlioptas, F. Ricci-Tersenghi, On the solution-space geometry of random constraint satisfaction problems, in: Proc. 38th Annual ACM Symposium on Theory of Computing, 2006, p. 130
  • 31
    • 33748194117 scopus 로고    scopus 로고
    • On the dynamics of the glass transition on Bethe lattices
    • Montanari A., and Semerjian G. On the dynamics of the glass transition on Bethe lattices. J. Stat. Phys. 124 (2006) 103
    • (2006) J. Stat. Phys. , vol.124 , pp. 103
    • Montanari, A.1    Semerjian, G.2
  • 32
    • 42749099393 scopus 로고    scopus 로고
    • Geometrical organization of solutions to random linear Boolean equations
    • Mora T., and Mézard M. Geometrical organization of solutions to random linear Boolean equations. J. Stat. Mech. (2006) P10007
    • (2006) J. Stat. Mech.
    • Mora, T.1    Mézard, M.2
  • 33
    • 0038299522 scopus 로고    scopus 로고
    • Coarse and sharp thresholds for random k-YOR-CNF satisfiability
    • Creignou N., and Daudé H. Coarse and sharp thresholds for random k-YOR-CNF satisfiability. Inform. Théor. Appl./Theoret. Inform. Appl. 37 2 (2003) 127-147
    • (2003) Inform. Théor. Appl./Theoret. Inform. Appl. , vol.37 , Issue.2 , pp. 127-147
    • Creignou, N.1    Daudé, H.2
  • 34
    • 2342515487 scopus 로고    scopus 로고
    • Combinatorial sharpness criterion and phase transition classification for random CSPs
    • Creignou N., and Daudé H. Combinatorial sharpness criterion and phase transition classification for random CSPs. Inform. Comput. 190 2 (2004) 220-238
    • (2004) Inform. Comput. , vol.190 , Issue.2 , pp. 220-238
    • Creignou, N.1    Daudé, H.2
  • 35
    • 51249184185 scopus 로고
    • Supermarked graphs and hypergraphs
    • Erdös P., and Simonovits M. Supermarked graphs and hypergraphs. Combinatorica 3 2 (1982) 181-192
    • (1982) Combinatorica , vol.3 , Issue.2 , pp. 181-192
    • Erdös, P.1    Simonovits, M.2
  • 36
    • 22144460479 scopus 로고    scopus 로고
    • Hunting for sharp thresholds
    • Friedgut E. Hunting for sharp thresholds. Random Structures Algorithms 26 1-2 (2005) 27-51
    • (2005) Random Structures Algorithms , vol.26 , Issue.1-2 , pp. 27-51
    • Friedgut, E.1
  • 38
    • 0036565753 scopus 로고    scopus 로고
    • The phase transition in a random hypergraph
    • Karonski M., and Luczak T. The phase transition in a random hypergraph. J. Comput. Appl. Math. 142 (2002) 125-135
    • (2002) J. Comput. Appl. Math. , vol.142 , pp. 125-135
    • Karonski, M.1    Luczak, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.