메뉴 건너뛰기




Volumn 39, Issue 1, 2009, Pages 260-280

Random formulas have frozen variables

Author keywords

Frozen variables; Phase transitions; Random formulas; Satisfiability

Indexed keywords

EXPONENTIAL NUMBERS; FROZEN VARIABLES; HYPERGRAPH COLORING; LOWER DENSITY; POLYNOMIAL-TIME ALGORITHMS; RANDOM CONSTRAINT SATISFACTION PROBLEMS; RANDOM FORMULAS; RANDOM GRAPHS; SATISFIABILITY; SURVEY PROPAGATION;

EID: 67650145886     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/070680382     Document Type: Conference Paper
Times cited : (30)

References (24)
  • 2
    • 34250892621 scopus 로고    scopus 로고
    • Random κ-SAT: Two moments suffice to cross a sharp threshold
    • D. ACHLIOPTAS AND C. MOORE, Random κ-SAT: Two moments suffice to cross a sharp threshold, SIAM J. Comput., 36 (2006), pp. 740-762.
    • (2006) SIAM J. Comput , vol.36 , pp. 740-762
    • ACHLIOPTAS, D.1    MOORE, C.2
  • 3
    • 33745880378 scopus 로고    scopus 로고
    • The two possible values of the chromatic number of a random graph
    • D. ACHLIOPTAS AND A. NAOR, The two possible values of the chromatic number of a random graph, Ann. of Math., 162 (2005), pp. 1335-1351.
    • (2005) Ann. of Math , vol.162 , pp. 1335-1351
    • ACHLIOPTAS, D.1    NAOR, A.2
  • 4
    • 35048866395 scopus 로고    scopus 로고
    • The chromatic number of random regular graphs
    • Proceedings of the 7th International Workshop on Randomization and Approximation Techniques in Computer Science, Springer, Berlin
    • D. ACHLIOPTAS AND C. MOORE, The chromatic number of random regular graphs, in Proceedings of the 7th International Workshop on Randomization and Approximation Techniques in Computer Science, Lecture Notes in Comput. Sci. 3122, Springer, Berlin, 2004, pp. 219-228.
    • (2004) Lecture Notes in Comput. Sci , vol.3122 , pp. 219-228
    • ACHLIOPTAS, D.1    MOORE, C.2
  • 5
    • 67650103973 scopus 로고    scopus 로고
    • D. ACHLIOPTAS, A. NAOR, AND Y. PERES, The fraction of satisfiable clauses in a typical formula, J. ACM, 54 (2), Article 10, (2007).
    • D. ACHLIOPTAS, A. NAOR, AND Y. PERES, The fraction of satisfiable clauses in a typical formula, J. ACM, 54 (2), Article 10, (2007).
  • 6
    • 20544464593 scopus 로고    scopus 로고
    • Rigorous location of phase transitions in hard optimization problems
    • D. ACHLIOPTAS, A. NAOR, AND Y. PERES, Rigorous location of phase transitions in hard optimization problems, Nature, 435 (2005), pp. 759-764.
    • (2005) Nature , vol.435 , pp. 759-764
    • ACHLIOPTAS, D.1    NAOR, A.2    PERES, Y.3
  • 9
    • 35449001278 scopus 로고    scopus 로고
    • Linear upper bounds for random walk on small density random 3CNFs
    • M. ALEKHNOVICH AND E. BEN-SASSON, Linear upper bounds for random walk on small density random 3CNFs, SIAM J. Comput., 36 (2007), pp. 1248-1263.
    • (2007) SIAM J. Comput , vol.36 , pp. 1248-1263
    • ALEKHNOVICH, M.1    BEN-SASSON, E.2
  • 10
    • 84901041385 scopus 로고    scopus 로고
    • A. BRAUNSTEIN AND R. ZECCHINA, Survey propagation as local equilibrium equations, J. Stat. Mech., (2004), P06007.
    • A. BRAUNSTEIN AND R. ZECCHINA, Survey propagation as local equilibrium equations, J. Stat. Mech., (2004), P06007.
  • 11
    • 0022809084 scopus 로고
    • Probabilistic analysis of two heuristics for the 3-satisfiability problem
    • M.-T. CHAO AND J. FRANCO, Probabilistic analysis of two heuristics for the 3-satisfiability problem, SIAM J. Comput., 15 (1986), pp. 1106-1118.
    • (1986) SIAM J. Comput , vol.15 , pp. 1106-1118
    • CHAO, M.-T.1    FRANCO, J.2
  • 13
    • 0001691345 scopus 로고    scopus 로고
    • A general upper bound for the satisfiability threshold of random r-SAT formulae
    • O. DUBOIS AND Y. BOUFKHAD, A general upper bound for the satisfiability threshold of random r-SAT formulae, J. Algorithms, 24 (1997), pp. 395-420.
    • (1997) J. Algorithms , vol.24 , pp. 395-420
    • DUBOIS, O.1    BOUFKHAD, Y.2
  • 15
    • 0030371894 scopus 로고    scopus 로고
    • Analysis of two simple heuristics on a random instance of k-SAT
    • A. M. FRIEZE AND S. SUEN, Analysis of two simple heuristics on a random instance of k-SAT, J. Algorithms, 20 (1996), pp. 312-355.
    • (1996) J. Algorithms , vol.20 , pp. 312-355
    • FRIEZE, A.M.1    SUEN, S.2
  • 17
    • 0002171821 scopus 로고
    • Tail bounds for occupancy and the satisfiability threshold conjecture
    • A. KAMATH, R. MOTWANI, K. PALEM, AND P. SPIRAKIS, Tail bounds for occupancy and the satisfiability threshold conjecture, Random Structures Algorithms, 7 (1995), pp. 59-80.
    • (1995) Random Structures Algorithms , vol.7 , pp. 59-80
    • KAMATH, A.1    MOTWANI, R.2    PALEM, K.3    SPIRAKIS, P.4
  • 18
    • 84938084560 scopus 로고    scopus 로고
    • The probabilistic analysis of a greedy satisfiability algorithm
    • Proceedings of the 10th Annual European Symposium on Algorithms, Springer, Berlin
    • A. KAPORIS, L. M. KIROUSIS, AND E. G. LALAS, The probabilistic analysis of a greedy satisfiability algorithm, in Proceedings of the 10th Annual European Symposium on Algorithms, Lecture Notes in Comput. Sci. 2461, Springer, Berlin, 2002, pp. 574-585.
    • (2002) Lecture Notes in Comput. Sci , vol.2461 , pp. 574-585
    • KAPORIS, A.1    KIROUSIS, L.M.2    LALAS, E.G.3
  • 21
    • 34547273891 scopus 로고    scopus 로고
    • F. KRZAK,ALA, A. MONTANARI, F. RICCI-TERSENGHI, G. SEMERJIAN, AND L. ZDEBOROVÁ, Gibbs states and the set of solutions of random constraint satisfaction problems, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 10318-10323.
    • F. KRZAK,ALA, A. MONTANARI, F. RICCI-TERSENGHI, G. SEMERJIAN, AND L. ZDEBOROVÁ, Gibbs states and the set of solutions of random constraint satisfaction problems, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 10318-10323.
  • 22
    • 34547738667 scopus 로고    scopus 로고
    • E. MANEVA, E. MOSSEL, AND M. J. WAINWRIGHT, A new look at survey propagation and its generalizations, J. ACM, 54 (4), Article 17, (2007).
    • E. MANEVA, E. MOSSEL, AND M. J. WAINWRIGHT, A new look at survey propagation and its generalizations, J. ACM, 54 (4), Article 17, (2007).
  • 23
    • 0037008520 scopus 로고    scopus 로고
    • Analytic and algorithmic solution of random satisfiability problems
    • M. MÉZARD, G. PARISI, AND R. ZECCHINA, Analytic and algorithmic solution of random satisfiability problems, Science, 297 (2002), pp. 812-815.
    • (2002) Science , vol.297 , pp. 812-815
    • MÉZARD, M.1    PARISI, G.2    ZECCHINA, R.3
  • 24
    • 21344437483 scopus 로고
    • Differential equations for random processes and random graphs
    • N. C. WORMALD, Differential equations for random processes and random graphs, Ann. Appl. Probab., 5 (1995), pp. 1217-1235.
    • (1995) Ann. Appl. Probab , vol.5 , pp. 1217-1235
    • WORMALD, N.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.