메뉴 건너뛰기




Volumn 15, Issue 1-2, 2006, Pages 281-315

Solving sparse random instances of Max Cut and Max 2-CSP in linear expected time

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; LINEAR EQUATIONS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 29744441377     PISSN: 09635483     EISSN: 14692163     Source Type: Journal    
DOI: 10.1017/S096354830500725X     Document Type: Article
Times cited : (17)

References (32)
  • 1
    • 0031483018 scopus 로고    scopus 로고
    • Brownian excursions, critical random graphs and the multiplicative coalescent
    • Aldous, D. (1997) Brownian excursions, critical random graphs and the multiplicative coalescent. Ann. Probab. 25 812-854.
    • (1997) Ann. Probab. , vol.25 , pp. 812-854
    • Aldous, D.1
  • 2
    • 0001000365 scopus 로고
    • Threshold limit theorems for some epidemic processes
    • von Bahr, B. and Martin-Löf, A. (1980) Threshold limit theorems for some epidemic processes. Adv. Appl. Probab. 12 319-349.
    • (1980) Adv. Appl. Probab. , vol.12 , pp. 319-349
    • Von Bahr, B.1    Martin-Löf, A.2
  • 3
    • 84990723730 scopus 로고
    • The asymptotic number of labeled connected graphs with a given number of vertices and edges
    • Bender, E. A., Canfield, E. R. and McKay, B. D. (1990) The asymptotic number of labeled connected graphs with a given number of vertices and edges. Random Struct. Alg. 1 127-169.
    • (1990) Random Struct. Alg. , vol.1 , pp. 127-169
    • Bender, E.A.1    Canfield, E.R.2    McKay, B.D.3
  • 4
    • 84948631966 scopus 로고
    • The accuracy of the Gaussian approximation to the sum of independent variates
    • Berry, A. C. (1941) The accuracy of the Gaussian approximation to the sum of independent variates. Trans. Amer. Math. Soc. 49 122-136.
    • (1941) Trans. Amer. Math. Soc. , vol.49 , pp. 122-136
    • Berry, A.C.1
  • 5
    • 0011632190 scopus 로고
    • The evolution of sparse graphs
    • (Cambridge 1983), Academic Press, London
    • Bollobás, B. (1984) The evolution of sparse graphs. In Graph Theory and Combinatorics (Cambridge 1983), Academic Press, London, pp. 35-57.
    • (1984) Graph Theory and Combinatorics , pp. 35-57
    • Bollobás, B.1
  • 8
    • 85022201500 scopus 로고
    • Mick gets some (the odds are on his side)
    • (Pittsburgh, PA, 1992), IEEE Comput. Soc. Press, Los Alamitos, CA
    • Chvátal, V. and Reed, B. (1992) Mick gets some (the odds are on his side). In 33th Annual Symposium on Foundations of Computer Science (Pittsburgh, PA, 1992), IEEE Comput. Soc. Press, Los Alamitos, CA, pp. 620-627.
    • (1992) 33th Annual Symposium on Foundations of Computer Science , pp. 620-627
    • Chvátal, V.1    Reed, B.2
  • 9
    • 84944213048 scopus 로고    scopus 로고
    • Max k-cut and approximating the chromatic number of random graphs
    • To appear
    • Coja-Oghlan, A., Moore, C. and Sanwalani, V. Max k-cut and approximating the chromatic number of random graphs. To appear in Random Struct. Alg.
    • Random Struct. Alg.
    • Coja-Oghlan, A.1    Moore, C.2    Sanwalani, V.3
  • 10
    • 35248830778 scopus 로고    scopus 로고
    • Colouring random graphs in expected polynomial time
    • Proc. STACS 2003, Springer
    • Coja-Oghlan, A. and Taraz, A. (2003) Colouring random graphs in expected polynomial time. In Proc. STACS 2003, Vol. 2607 of Lecture Notes in Computer Science, Springer, pp. 487-498.
    • (2003) Lecture Notes in Computer Science , vol.2607 , pp. 487-498
    • Coja-Oghlan, A.1    Taraz, A.2
  • 16
    • 0030388062 scopus 로고    scopus 로고
    • A threshold for unsatisfiability
    • Goerdt, A. (1996) A threshold for unsatisfiability. J. Comput. System Sci. 53 469-486.
    • (1996) J. Comput. System Sci. , vol.53 , pp. 469-486
    • Goerdt, A.1
  • 17
    • 0042014171 scopus 로고    scopus 로고
    • New worst-case upper bounds for MAX-2-SAT with an application to MAX-CUT
    • Gramm, J., Hirsch, E. A., Niedermeier, R. and Rossmanith, P. (2003) New worst-case upper bounds for MAX-2-SAT with an application to MAX-CUT. Discrete Appl. Math. 130 139-155.
    • (2003) Discrete Appl. Math. , vol.130 , pp. 139-155
    • Gramm, J.1    Hirsch, E.A.2    Niedermeier, R.3    Rossmanith, P.4
  • 18
    • 84944062558 scopus 로고    scopus 로고
    • A new algorithm for MAX-2-SAT
    • Proc. STACS 2000 (Lille), Springer, Berlin
    • Hirsch, E. A. (2000) A new algorithm for MAX-2-SAT. In Proc. STACS 2000 (Lille), Vol. 1770 of Lecture Notes in Computer Science, Springer, Berlin, pp. 65-73.
    • (2000) Lecture Notes in Computer Science , vol.1770 , pp. 65-73
    • Hirsch, E.A.1
  • 19
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • Hoeffding, W. (1963) Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58 13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 20
    • 0003616602 scopus 로고    scopus 로고
    • Wiley-Interscience Series in Discrete Mathematics and Optimization, Wiley-Interscience, New York
    • Janson, S., Łuczak, T. and Ruciński, A. (2000) Random Graphs, Wiley-Interscience Series in Discrete Mathematics and Optimization, Wiley-Interscience, New York.
    • (2000) Random Graphs
    • Janson, S.1    Łuczak, T.2    Ruciński, A.3
  • 21
    • 84990713780 scopus 로고
    • The transitive closure of a random digraph
    • Karp, R. M. (1990) The transitive closure of a random digraph. Random Struct. Alg. 1 73-93.
    • (1990) Random Struct. Alg. , vol.1 , pp. 73-93
    • Karp, R.M.1
  • 23
    • 0036604770 scopus 로고    scopus 로고
    • Approximating the independence number and the chromatic number in expected polynomial time
    • Krivelevich, M. and Vu, V. H. (2002) Approximating the independence number and the chromatic number in expected polynomial time. J. Combin. Optim. 6 143-155.
    • (2002) J. Combin. Optim. , vol.6 , pp. 143-155
    • Krivelevich, M.1    Vu, V.H.2
  • 25
    • 84990642302 scopus 로고
    • On the number of sparse connected graphs
    • Luczak, T. (1990) On the number of sparse connected graphs. Random Struct. Alg. 1 171-173.
    • (1990) Random Struct. Alg. , vol.1 , pp. 171-173
    • Luczak, T.1
  • 26
    • 0000618154 scopus 로고
    • Symmetric sampling procedures, general epidemic processes and their threshold limit theorems
    • Martin-Löf, A. (1986) Symmetric sampling procedures, general epidemic processes and their threshold limit theorems. J. Appl. Probab. 23 265-282.
    • (1986) J. Appl. Probab. , vol.23 , pp. 265-282
    • Martin-Löf, A.1
  • 27
    • 29744467608 scopus 로고    scopus 로고
    • New upper bounds for MaxSat
    • Automata, Languages and Programming (Prague, 1999), Springer, Berlin
    • Niedermeier, R. and Rossmanith, P. (1999) New upper bounds for MaxSat. In Automata, Languages and Programming (Prague, 1999), Vol. 1644 of Lecture Notes in Computer Science, Springer, Berlin, pp. 575-584.
    • (1999) Lecture Notes in Computer Science , vol.1644 , pp. 575-584
    • Niedermeier, R.1    Rossmanith, P.2
  • 28
    • 33244459054 scopus 로고    scopus 로고
    • Faster algorithms for MAX CUT and MAX CSP, with polynomial expected time for sparse instances
    • (Baltimore, MD, 2003), Springer
    • Scott, A. D. and Sorkin, G. B. (2003) Faster algorithms for MAX CUT and MAX CSP, with polynomial expected time for sparse instances. In Proc. Random 2003 (Baltimore, MD, 2003), Springer, pp. 382-395.
    • (2003) Proc. Random 2003 , pp. 382-395
    • Scott, A.D.1    Sorkin, G.B.2
  • 30
    • 0007508170 scopus 로고    scopus 로고
    • Enumerating graphs and Brownian motion
    • Spencer, J. (1997) Enumerating graphs and Brownian motion. Comm. Pure Appl. Math. 50 291-294.
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 291-294
    • Spencer, J.1
  • 32
    • 0007033389 scopus 로고
    • The number of connected sparsely edged graphs III: Asymptotic results
    • Wright, E. M. (1980) The number of connected sparsely edged graphs III: Asymptotic results. J. Graph Theory 4 393-407.
    • (1980) J. Graph Theory , vol.4 , pp. 393-407
    • Wright, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.