메뉴 건너뛰기




Volumn , Issue 10, 2006, Pages

Geometrical organization of solutions to random linear Boolean equations

Author keywords

Cavity and replica method; Message passing algorithms; Typical case computational complexity

Indexed keywords


EID: 42749099393     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/10/P10007     Document Type: Article
Times cited : (17)

References (28)
  • 2
    • 84925405668 scopus 로고
    • Low-density parity check codes
    • Gallager R G 1962 Low-density parity check codes IRE Trans. Inf. Theory 8 21
    • (1962) IRE Trans. Inf. Theory , vol.8 , Issue.1 , pp. 21
    • Gallager, R.G.1
  • 5
    • 0033458154 scopus 로고    scopus 로고
    • Sharp thresholds of graph properties, and the k-SAT problem
    • Friedgut E 1999 Sharp thresholds of graph properties, and the k-SAT problem J. Am. Math. Soc. 12 1017
    • (1999) J. Am. Math. Soc. , vol.12 , Issue.4 , pp. 1017
    • Friedgut, E.1
  • 6
    • 0037008520 scopus 로고    scopus 로고
    • Analytic and algorithmic solution of random satisfiability problems
    • Mézard M, Parisi G and Zecchina R 2002 Analytic and algorithmic solution of random satisfiability problems Science 297 812-5
    • (2002) Science , vol.297 , Issue.5582 , pp. 812-815
    • Mézard, M.1    Parisi, G.2    Zecchina, R.3
  • 7
    • 37649031218 scopus 로고    scopus 로고
    • Random k-satisfiability problem: From an analytic solution to an efficient algorithm
    • Mézard M and Zecchina R 2002 Random k-satisfiability problem: from an analytic solution to an efficient algorithm Phys. Rev. E 66 056126
    • (2002) Phys. Rev. , vol.66 , Issue.5 , pp. 056126
    • Mézard, M.1    Zecchina, R.2
  • 9
    • 21144441770 scopus 로고    scopus 로고
    • A study of pure random walk on random satisfiability problems with 'physical' methods
    • Semerjian G and Monasson R 2004 A study of pure random walk on random satisfiability problems with 'physical' methods Proc. SAT 2003 Conf. (Lecture Notes in Computer Science vol 120) ed E Giunchiglia and A Tachella (Berlin: Springer) p 2919
    • (2004) Proc. SAT 2003 Conf. , pp. 2919
    • Semerjian, G.1    Monasson, R.2    Giunchiglia, E.3    Tachella, A.4
  • 10
    • 27144439070 scopus 로고    scopus 로고
    • Clustering of solutions in the random satisfiability problem
    • Mézard M, Mora T and Zecchina R 2005 Clustering of solutions in the random satisfiability problem Phys. Rev. Lett. 94 197205
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.19 , pp. 197205
    • Mézard, M.1    Mora, T.2    Zecchina, R.3
  • 13
    • 0040426391 scopus 로고    scopus 로고
    • Optimization problems and replica symmetry breaking in finite connectivity spin-glasses
    • Monasson R 1998 Optimization problems and replica symmetry breaking in finite connectivity spin-glasses J. Phys. A: Math. Gen. 31 513
    • (1998) J. Phys. A: Math. Gen. , vol.31 , Issue.2 , pp. 513
    • Monasson, R.1
  • 14
    • 0038401954 scopus 로고    scopus 로고
    • The Bethe lattice spin glass revisited
    • Mézard M and Parisi G 2001 The Bethe lattice spin glass revisited Eur. Phys. J. B 20 217
    • (2001) Eur. Phys. J. , vol.20 , Issue.2 , pp. 217
    • Mézard, M.1    Parisi, G.2
  • 15
    • 18344377121 scopus 로고    scopus 로고
    • Simplest random k-satisfiability problem
    • Ricci-Tersenghi F, Weigt M and Zecchina R 2001 Simplest random k-satisfiability problem Phys. Rev. E 63 026702
    • (2001) Phys. Rev. , vol.63 , Issue.2 , pp. 026702
    • Ricci-Tersenghi, F.1    Weigt, M.2    Zecchina, R.3
  • 16
    • 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 2003 Rigorous decimation-based construction of ground pure states for spin glass models on random lattices Phys. Rev. Lett. 90 047205
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.4 , pp. 047205
    • Cocco, S.1    Dubois, O.2    Mandler, J.3    Monasson, R.4
  • 18
    • 0242565431 scopus 로고    scopus 로고
    • Alternative solutions to diluted p-spin models and XORSAT problems
    • Mézard M, Ricci-Tersenghi F and Zecchina R 2003 Alternative solutions to diluted p-spin models and XORSAT problems J. Stat. Phys. 111 505
    • (2003) J. Stat. Phys. , vol.111 , pp. 505
    • Mézard, M.1    Ricci-Tersenghi, F.2    Zecchina, R.3
  • 24
    • 5044242131 scopus 로고    scopus 로고
    • Weight distributions of LDPC code ensembles: Combinatorics meets statistical physics
    • Di C, Montanari A and Urbanke R 2004 Weight distributions of LDPC code ensembles: combinatorics meets statistical physics Int. Symp. on Information Theory (Piscataway, NJ: IEEE)
    • (2004) Int. Symp. on Information Theory
    • Di, C.1    Montanari, A.2    Urbanke, R.3
  • 25
  • 27
    • 0031275868 scopus 로고    scopus 로고
    • The intractability of computing the minimum distance of a code
    • Vardy A 1997 The intractability of computing the minimum distance of a code IEEE Trans. Inf. Theory 43 1757-66
    • (1997) IEEE Trans. Inf. Theory , vol.43 , Issue.6 , pp. 1757-1766
    • Vardy, A.1
  • 28
    • 28844432918 scopus 로고    scopus 로고
    • Landscape of solutions in constraint satisfaction problems
    • Mézard M, Palassini M and Rivoire O 2005 Landscape of solutions in constraint satisfaction problems Phys. Rev. Lett. 95 200202
    • (2005) Phys. Rev. Lett. , vol.95 , Issue.20 , pp. 200202
    • Mézard, M.1    Palassini, M.2    Rivoire, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.