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Volumn 24, Issue 1-2, 2000, Pages 37-65

Relaxations of the satisfiability problem using semidefinite programming

Author keywords

Relaxation; Satisfiability problem; Semidefinite programming

Indexed keywords


EID: 0344794583     PISSN: 01687433     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1006362203438     Document Type: Article
Times cited : (22)

References (37)
  • 2
    • 0001548856 scopus 로고
    • A linear-time algorithm for testing the truth of certain quantified Boolean formulas
    • Aspvall, B., Plass, M. F., and Tarjan, R. E.: A linear-time algorithm for testing the truth of certain quantified Boolean formulas, Inform. Process. Lett. 8(3) (1979), 121-123.
    • (1979) Inform. Process. Lett. , vol.8 , Issue.3 , pp. 121-123
    • Aspvall, B.1    Plass, M.F.2    Tarjan, R.E.3
  • 3
    • 0041881275 scopus 로고    scopus 로고
    • Solving large-scale sparse semidefinite programs for combinatorial optimization
    • Computational Optimization Lab., Department of Management Science, University of Iowa, Iowa City
    • Benson, S. J., Ye, Y., and Zhang, X.: Solving large-scale sparse semidefinite programs for combinatorial optimization, Technical Report, Computational Optimization Lab., Department of Management Science, University of Iowa, Iowa City, 1997.
    • (1997) Technical Report
    • Benson, S.J.1    Ye, Y.2    Zhang, X.3
  • 4
    • 0000971541 scopus 로고
    • Edmonds polytopes and a hierarchy of combinatorial problems
    • Chvátal, V.: Edmonds polytopes and a hierarchy of combinatorial problems, Discrete Math. 4 (1973), 305-337.
    • (1973) Discrete Math. , vol.4 , pp. 305-337
    • Chvátal, V.1
  • 6
  • 7
    • 84919401135 scopus 로고
    • A machine program for theorem proving
    • Davis, M., Logemann, M., and Loveland, D.: A machine program for theorem proving, Comm. ACM 5 (1962), 394-397.
    • (1962) Comm. ACM , vol.5 , pp. 394-397
    • Davis, M.1    Logemann, M.2    Loveland, D.3
  • 9
    • 33645458549 scopus 로고    scopus 로고
    • Approximate graph colouring algorithms based on the v-function
    • In preparation
    • de Klerk, E., Pasechnik, D. V., and Warners, J. P.: Approximate graph colouring algorithms based on the v-function, Technical Report, 1999. In preparation.
    • (1999) Technical Report
    • De Klerk, E.1    Pasechnik, D.V.2    Warners, J.P.3
  • 10
    • 22944444674 scopus 로고    scopus 로고
    • Semidefinite programming techniques for MAX-2-SAT and MAX-3-SAT: Computational perspectives
    • Department of Technical Mathematics and Informatics, Faculty of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands
    • de Klerk, E. and Warners, J. P.: Semidefinite programming techniques for MAX-2-SAT and MAX-3-SAT: Computational perspectives, Technical Report 98-34, Department of Technical Mathematics and Informatics, Faculty of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, 1998.
    • (1998) Technical Report , vol.98 , Issue.34
    • De Klerk, E.1    Warners, J.P.2
  • 11
    • 0010916383 scopus 로고    scopus 로고
    • Du, D., Gu, J., and Pardalos, P. M. (eds.) DIMACS Series in Discrete Math, and Comput. Sci. 35, Amer. Math. Soc.
    • Du, D., Gu, J., and Pardalos, P. M. (eds.): Satisfiability Problem: Theory and Applications, DIMACS Series in Discrete Math, and Comput. Sci. 35, Amer. Math. Soc., 1997.
    • (1997) Satisfiability Problem: Theory and Applications
  • 12
    • 85027123851 scopus 로고
    • Approximating the value of two prover proof systems with applications to MAX 2SAT and MAX DICUT
    • Feige, U. and Goemans, M.: Approximating the value of two prover proof systems with applications to MAX 2SAT and MAX DICUT, in Proc. Third Israel Symposium on Theory of Computing and Systems, 1995, pp. 182-189.
    • (1995) Proc. Third Israel Symposium on Theory of Computing and Systems , pp. 182-189
    • Feige, U.1    Goemans, M.2
  • 13
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • Goemans, M. X. and 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
  • 15
    • 0000076101 scopus 로고
    • The intractability of resolution
    • Haken, A.: The intractability of resolution, Theoret. Comput. Sci. 39 (1985), 297-308.
    • (1985) Theoret. Comput. Sci. , vol.39 , pp. 297-308
    • Haken, A.1
  • 16
    • 0004975003 scopus 로고    scopus 로고
    • A spectral bundle method for SDP
    • Preprint SC-97-37, Konrad-Zuse-Zentrum, Berlin
    • Helmberg, C. and Rendl, F.: A spectral bundle method for SDP, Technical Report ZIB, Preprint SC-97-37, Konrad-Zuse-Zentrum, Berlin, 1997.
    • (1997) Technical Report ZIB
    • Helmberg, C.1    Rendl, F.2
  • 17
    • 0023962177 scopus 로고
    • Resolution vs. cutting plane solution of inference problems: Some computational experience
    • Hooker, J. N.: Resolution vs. cutting plane solution of inference problems: some computational experience, Oper. Res. Lett. 7(1) (1988), 1-7.
    • (1988) Oper. Res. Lett. , vol.7 , Issue.1 , pp. 1-7
    • Hooker, J.N.1
  • 21
    • 33645452047 scopus 로고    scopus 로고
    • Investigations on autark assignments
    • Johann Wolfgang Goethe-Universität, Fachbereich Mathematik, 60054 Frankfurt, Germany, Submitted
    • Kullmann, O.: Investigations on autark assignments, Technical Report, Johann Wolfgang Goethe-Universität, Fachbereich Mathematik, 60054 Frankfurt, Germany, 1998. Submitted.
    • (1998) Technical Report
    • Kullmann, O.1
  • 22
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • Lovász, L.: On the Shannon capacity of a graph, IEEE Trans. Inform. Theory 25 (1979), 1-7.
    • (1979) IEEE Trans. Inform. Theory , vol.25 , pp. 1-7
    • Lovász, L.1
  • 23
    • 0001154274 scopus 로고
    • Cones of matrices and set-functions and 0-1 optimization
    • Lovász, L. and Schrijver, A.: Cones of matrices and set-functions and 0-1 optimization, SIAM J. Optim. 1(2) (1991), 166-190.
    • (1991) SIAM J. Optim. , vol.1 , Issue.2 , pp. 166-190
    • Lovász, L.1    Schrijver, A.2
  • 24
    • 33645455645 scopus 로고    scopus 로고
    • Elliptic approximations of prepositional formulae
    • Technical Report 96-65, Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft, The Netherlands, 1996.
    • Van Maaren, H.: Elliptic approximations of prepositional formulae, Technical Report 96-65, Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft, The Netherlands, 1996. To appear in Discrete Appl. Math.
    • Discrete Appl. Math.
    • Van Maaren, H.1
  • 26
    • 0347255973 scopus 로고    scopus 로고
    • Solving satisfiability problems using elliptic approximations - A note on volumes and weights
    • Department of Technical Mathematics and Informatics, Faculty of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands
    • Van Maaren, H. and Warners, J. P.: Solving satisfiability problems using elliptic approximations - a note on volumes and weights, Technical Report 98-32, Department of Technical Mathematics and Informatics, Faculty of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, 1998.
    • (1998) Technical Report , vol.98 , Issue.32
    • Van Maaren, H.1    Warners, J.P.2
  • 29
    • 0001321687 scopus 로고
    • A hierarchy of relaxations between the continuous and convex hull representations for 0-1 programming problems
    • Sherali, H. D. and Adams, W. P.: A hierarchy of relaxations between the continuous and convex hull representations for 0-1 programming problems, SIAM J. Discrete Math. 3(3) (1990), 411-430.
    • (1990) SIAM J. Discrete Math. , vol.3 , Issue.3 , pp. 411-430
    • Sherali, H.D.1    Adams, W.P.2
  • 31
    • 0142052140 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • Communications Research Laboratory, McMaster University, Hamilton, Canada
    • Sturm, J. F.: Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, Technical Report, Communications Research Laboratory, McMaster University, Hamilton, Canada, 1998.
    • (1998) Technical Report
    • Sturm, J.F.1
  • 34
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe, L. and Boyd, S.: Semidefinite programming, SIAM Rev. 38 (1996), 49-95.
    • (1996) SIAM Rev. , vol.38 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 35
    • 33645455977 scopus 로고    scopus 로고
    • Recognition of tractable satisfiability problems through balanced polynomial representations
    • To appear
    • Warners, J. P. and Van Maaren, H.: Recognition of tractable satisfiability problems through balanced polynomial representations, Discrete Appl. Math., 1999. To appear.
    • (1999) Discrete Appl. Math.
    • Warners, J.P.1    Van Maaren, H.2
  • 36
    • 0347255973 scopus 로고    scopus 로고
    • Solving satisfiability problems using elliptic approximations - Effective branching rules
    • Technical Report 98-18, Department of Technical Mathematics and Informatics, Faculty of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands
    • Warners, J. P. and Van Maaren, H.: Solving satisfiability problems using elliptic approximations - effective branching rules, Technical Report 98-18, Department of Technical Mathematics and Informatics, Faculty of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, 1998. Accepted for publication in Discrete Appl. Math.
    • (1998) Discrete Appl. Math.
    • Warners, J.P.1    Van Maaren, H.2
  • 37
    • 0032178308 scopus 로고    scopus 로고
    • A two-phase algorithm for solving a class of hard satisfiability problems
    • Warners, J. P. and Van Maaren, H.: A two-phase algorithm for solving a class of hard satisfiability problems, Oper. Res. Lett. 23(3-5) (1999), 81-88.
    • (1999) Oper. Res. Lett. , vol.23 , Issue.3-5 , pp. 81-88
    • Warners, J.P.1    Van Maaren, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.