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Volumn 107, Issue 1-3, 2000, Pages 225-239

Bounds and fast approximation algorithms for binary quadratic optimization problems with application to MAX 2SAT

Author keywords

90C20 Quadratic programming; 90C27 Combinatorial optimization; Approximation algorithms; Binary programming; Combinatorial optimization

Indexed keywords


EID: 0346424966     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(00)00263-8     Document Type: Article
Times cited : (7)

References (20)
  • 2
    • 0001548856 scopus 로고
    • A linear-time algorithm for testing the truth of certain quantified Boolean formulas
    • Aspvall B., Plass M.F., 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
    • 34250080270 scopus 로고
    • Laplacian eigenvalues and the maximum cut problem
    • Delorme C., Poljak S. Laplacian eigenvalues and the maximum cut problem. Math. Programming. 62:1993;557-574.
    • (1993) Math. Programming , vol.62 , pp. 557-574
    • Delorme, C.1    Poljak, S.2
  • 4
    • 0010903176 scopus 로고
    • The performance of an eigenvalue bound on the max-cut problem in some classes of graphs
    • Delorme C., Poljak S. The performance of an eigenvalue bound on the max-cut problem in some classes of graphs. Discrete Math. 111:1993;145-156.
    • (1993) Discrete Math. , vol.111 , pp. 145-156
    • Delorme, C.1    Poljak, S.2
  • 8
    • 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
  • 11
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • Johnson D.S. Approximation algorithms for combinatorial problems. J. Comput. System Sci. 9:1974;256-278.
    • (1974) J. Comput. System Sci. , vol.9 , pp. 256-278
    • Johnson, D.S.1
  • 13
    • 34249928512 scopus 로고
    • An interior point algorithm to solve computationally difficult set covering problems
    • Karmarkar N., Resende M.G.C., Ramakrishnan K.G. An interior point algorithm to solve computationally difficult set covering problems. Math. Programming. 52:1991;597-618.
    • (1991) Math. Programming , vol.52 , pp. 597-618
    • Karmarkar, N.1    Resende, M.G.C.2    Ramakrishnan, K.G.3
  • 14
    • 84963455348 scopus 로고
    • A tight bound for the Boolean quadratic optimization problem and its use in a branch and bound algorithm
    • Körner F. A tight bound for the Boolean quadratic optimization problem and its use in a branch and bound algorithm. Optimization. 19(5):1988;711-721.
    • (1988) Optimization , vol.19 , Issue.5 , pp. 711-721
    • Körner, F.1
  • 15
    • 0025445589 scopus 로고
    • On duality for Boolean programming
    • Körner F. On duality for Boolean programming. European J. Oper. Res. 46(3):1990;399-403.
    • (1990) European J. Oper. Res. , vol.46 , Issue.3 , pp. 399-403
    • Körner, F.1
  • 16
    • 0041596789 scopus 로고    scopus 로고
    • Elliptic approximations of propositional formulae
    • Van Maaren H. Elliptic approximations of propositional formulae. Discrete Appl. Math. 96-97:1999;223-244.
    • (1999) Discrete Appl. Math. , vol.9697 , pp. 223-244
    • Van Maaren, H.1
  • 17
    • 0042075477 scopus 로고    scopus 로고
    • On the use of second order derivatives for the satisfiability problems
    • in: D. Du, J. Gu, P.M. Pardalos (Eds.), American Mathematical Society, Providence, RI
    • H. Van Maaren, On the use of second order derivatives for the satisfiability problems, in: D. Du, J. Gu, P.M. Pardalos (Eds.), Satisfiability Problem: Theory and Applications, DIMACS Series in Discrete Mathematics and Computer Science, Vol. 35, American Mathematical Society, Providence, RI, 1997, pp. 677-687.
    • (1997) Satisfiability Problem: Theory and Applications, DIMACS Series in Discrete Mathematics and Computer Science , vol.35 , pp. 677-687
    • Van Maaren, H.1
  • 18
    • 0039314765 scopus 로고
    • Solving the max-cut problem using eigenvalues
    • Poljak S., Rendl F. Solving the max-cut problem using eigenvalues. Discrete Appl. Math. 62:1995;249-278.
    • (1995) Discrete Appl. Math. , vol.62 , pp. 249-278
    • Poljak, S.1    Rendl, F.2
  • 19
    • 0032179316 scopus 로고    scopus 로고
    • A linear-time transformation of linear inequalities into conjunctive normal form
    • Warners J.P. A linear-time transformation of linear inequalities into conjunctive normal form. Inform. Process. Lett. 68:1998;63-69.
    • (1998) Inform. Process. Lett. , vol.68 , pp. 63-69
    • Warners, J.P.1
  • 20
    • 34249839449 scopus 로고
    • On affine scaling algorithms for nonconvex quadratic programming
    • Ye Y. On affine scaling algorithms for nonconvex quadratic programming. Math. Programming. 56:1992;285-300.
    • (1992) Math. Programming , vol.56 , pp. 285-300
    • Ye, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.