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Volumn 113, Issue 1-3, 2001, Pages 81-94

MAX SAT approximation beyond the limits of polynomial-time approximation

Author keywords

03B05; 03B25; 68W25; Approximation algorithms; Maximum satisfiability problem

Indexed keywords


EID: 0035960967     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-0072(01)00052-5     Document Type: Article
Times cited : (22)

References (21)
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    • Hardness of approximation
    • in: D. Hochbaum (Ed.) Chap. 10., PWS Publishing Company, Boston
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    • (1997) Approximation Algorithms for NP-hard Problems
    • Arora, S.1    Lund, C.2
  • 4
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    • A two-phase exact algorithm for MAX-SAT and weighted MAX-SAT problems
    • Borchers B., Furman J. A two-phase exact algorithm for MAX-SAT and weighted MAX-SAT problems. J. Combin. Optim. 2(4):1999;299-306.
    • (1999) J. Combin. Optim. , vol.2 , Issue.4 , pp. 299-306
    • Borchers, B.1    Furman, J.2
  • 5
    • 0010598347 scopus 로고
    • Two propositional proof systems based on the splitting method
    • (in Russian)
    • E. Dantsin, Two propositional proof systems based on the splitting method. Zapiski Nauchnykh Seminarov LOMI 105 (1981) 24-44. (in Russian) (English translation: J. Soviet Math. 22 (3) (1983) 1293-1305.).
    • (1981) Zapiski Nauchnykh Seminarov LOMI , vol.105 , pp. 24-44
    • Dantsin, E.1
  • 6
    • 0007929931 scopus 로고
    • English translation
    • E. Dantsin, Two propositional proof systems based on the splitting method. Zapiski Nauchnykh Seminarov LOMI 105 (1981) 24-44. (in Russian) (English translation: J. Soviet Math. 22 (3) (1983) 1293-1305.).
    • (1983) J. Soviet Math. , vol.22 , Issue.3 , pp. 1293-1305
  • 9
    • 84919401135 scopus 로고
    • A machine program for theorem-proving
    • Davis M., Logemann G., Loveland D. A machine program for theorem-proving. Comm. ACM. 5(7):1962;394-397.
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    • Davis, M.1    Logemann, G.2    Loveland, D.3
  • 10
    • 85027123851 scopus 로고
    • Approximating the value of two proper proof systems, with applications to MAX-2SAT and MAX-DICUT
    • U. Feige, M.X. Goemans, Approximating the value of two proper proof systems, with applications to MAX-2SAT and MAX-DICUT, Proc. 3rd Israel Symp. on Theory and Computing Systems, 1995, pp. 182-189.
    • (1995) Proc. 3rd Israel Symp. on Theory and Computing Systems , pp. 182-189
    • Feige, U.1    Goemans, M.X.2
  • 11
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • Goemans M.X., Williamson D.P. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. ACM. 42(6):1995;1115-1145.
    • (1995) J. ACM , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 12
    • 0346752901 scopus 로고    scopus 로고
    • New worst-case upper bounds for MAX-2-SAT with application to MAX-CUT
    • Electronic Colloquim on Computational Complexity, June
    • J. Gramm, E.A. Hirsch, R. Niedermeier, P. Rossmanith, New worst-case upper bounds for MAX-2-SAT with application to MAX-CUT. Technical Report 00-037, Electronic Colloquim on Computational Complexity, June 2000, ftp://ftp.eccc.uni-trier.de/pub/eccc/reports/2000/TR00-037/index.html.
    • (2000) Technical Report 00-037
    • Gramm, J.1    Hirsch, E.A.2    Niedermeier, R.3    Rossmanith, P.4
  • 14
    • 0033687739 scopus 로고    scopus 로고
    • New worst-case upper bounds for SAT
    • Hirsch E.A. New worst-case upper bounds for SAT. J. Automat. Reason. 24(4):2000;397-420.
    • (2000) J. Automat. Reason. , vol.24 , Issue.4 , pp. 397-420
    • Hirsch, E.A.1
  • 15
    • 0042350814 scopus 로고    scopus 로고
    • Worst-case time bounds for MAX-k-SAT w.r.t. the number of variables using local search
    • Carleton Scientific 2000, Preliminary version available as Technical Report 00-019, Electronic Colloquim on Computational Complexity
    • E.A. Hirsch, Worst-case time bounds for MAX- k -SAT w.r.t. the number of variables using local search, Proc. RANDOM 2000, ICALP Workshops 2000, Proc. in Informatics 8:69-76, Carleton Scientific 2000, Preliminary version available as Technical Report 00-019, Electronic Colloquim on Computational Complexity, 2000, ftp://ftp.eccc.uni-trier.de/pub/eccc/reports/2000/TR00-019/index.html.
    • (2000) Proc. RANDOM 2000, ICALP Workshops 2000, Proc. in Informatics , vol.8 , pp. 69-76
    • Hirsch, E.A.1
  • 18
    • 0001222854 scopus 로고    scopus 로고
    • Parameterizing above guaranteed values: MaxSat and MaxCut
    • Mahajan M., Raman V. Parameterizing above guaranteed values: MaxSat and MaxCut. J. Algorithms. 31:1999;335-354.
    • (1999) J. Algorithms , vol.31 , pp. 335-354
    • Mahajan, M.1    Raman, V.2
  • 20
    • 0007981025 scopus 로고    scopus 로고
    • New upper bounds for MaxSat
    • in preparation. (Preliminary version appeared in Proc. ICALP'99.)
    • R. Niedermeier, P. Rossmanith, New upper bounds for MaxSat, J. Algorithms, 2000, in preparation. (Preliminary version appeared in Proc. ICALP'99.).
    • (2000) J. Algorithms
    • Niedermeier, R.1    Rossmanith, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.