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Volumn 154, Issue 15, 2006, Pages 2080-2096

A new trust region technique for the maximum weight clique problem

Author keywords

Heuristic; Maximum weight cliquel; Motzkin Straus theorem; Quadratic programming; Trust region

Indexed keywords

ALGORITHMS; BENCHMARKING; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; HEURISTIC METHODS; PROBLEM SOLVING; QUADRATIC PROGRAMMING;

EID: 33746894163     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2005.04.010     Document Type: Article
Times cited : (80)

References (23)
  • 1
    • 0035473145 scopus 로고    scopus 로고
    • Finding independent sets in a graph using continuous multivariable polynomial formulations
    • Abello J., Butenko S., Pardalos P.M., and Resende M.G.C. Finding independent sets in a graph using continuous multivariable polynomial formulations. J. Global Optim. 21 4 (2001) 111-137
    • (2001) J. Global Optim. , vol.21 , Issue.4 , pp. 111-137
    • Abello, J.1    Butenko, S.2    Pardalos, P.M.3    Resende, M.G.C.4
  • 4
    • 33746905317 scopus 로고    scopus 로고
    • M. Brockington, J.C. Culberson, Camouflaging independent sets in quasi-random graphs, in: D. Johnson, M.A. Trick (Eds.), Cliques, Coloring and Satisfiability, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 26, AMS, Providence, RI, 1996, pp. 75-88.
  • 5
    • 3543090051 scopus 로고    scopus 로고
    • Maximum stable set formulations and heuristics based on continuous optimization
    • Burer S., Monteiro R.D.C., and Zhang Y. Maximum stable set formulations and heuristics based on continuous optimization. Math. Program. 94 1 (2002) 137-166
    • (2002) Math. Program. , vol.94 , Issue.1 , pp. 137-166
    • Burer, S.1    Monteiro, R.D.C.2    Zhang, Y.3
  • 6
    • 33746867338 scopus 로고    scopus 로고
    • S. Busygin, Stas Busygin's NP-completeness page, 〈http://www.busygin.dp.ua/npc.html〉.
  • 7
    • 0036722266 scopus 로고    scopus 로고
    • A heuristic for the maximum independent set problem based on optimization of a quadratic over a sphere
    • Busygin S., Butenko S., and Pardalos P.M. A heuristic for the maximum independent set problem based on optimization of a quadratic over a sphere. J. Combin. Optim. 6 3 (2002) 287-297
    • (2002) J. Combin. Optim. , vol.6 , Issue.3 , pp. 287-297
    • Busygin, S.1    Butenko, S.2    Pardalos, P.M.3
  • 8
    • 33746896408 scopus 로고    scopus 로고
    • 2) algorithm for the symmetric tridiagonal eigenvalue/eigenvector problem, Computer Science Division Technical Report No. UCB//CSD-97-971, UC Berkeley, 1997.
  • 9
    • 0001046905 scopus 로고
    • On the stationary values of a second degree polynomial on the unit sphere
    • Forsythe G.E., and Golub G.H. On the stationary values of a second degree polynomial on the unit sphere. SIAM J. Appl. Math. 13 (1965) 1050-1068
    • (1965) SIAM J. Appl. Math. , vol.13 , pp. 1050-1068
    • Forsythe, G.E.1    Golub, G.H.2
  • 12
    • 0036347958 scopus 로고    scopus 로고
    • Minimizing a quadratic over a sphere
    • Hager W. Minimizing a quadratic over a sphere. SIAM J. Optim. 12 (2001) 188-208
    • (2001) SIAM J. Optim. , vol.12 , pp. 188-208
    • Hager, W.1
  • 13
    • 0030386107 scopus 로고    scopus 로고
    • 1 - ε{lunate}, in: Proceedings of the 37th Annual IEEE Symposium on the Foundations of Computer Science (FOCS), 1996, pp. 627-636.
  • 14
    • 0035176032 scopus 로고    scopus 로고
    • S. Khot, Improved inapproximability results for maxclique, chromatic number and approximate graph coloring, in: Proceedings of the 42nd Annual IEEE Symposium on the Foundations of Computer Science (FOCS), 2001, pp. 600-609.
  • 15
    • 0028194474 scopus 로고
    • Local minima of the trust region problem
    • Lyle S., and Szularz M. Local minima of the trust region problem. J. Optim. Theory Appl. 80 (1994) 117-134
    • (1994) J. Optim. Theory Appl. , vol.80 , pp. 117-134
    • Lyle, S.1    Szularz, M.2
  • 16
    • 0032595816 scopus 로고    scopus 로고
    • An augmentation algorithm for the maximum weighted stable set problem
    • Mannino C., and Stefanutti E. An augmentation algorithm for the maximum weighted stable set problem. Comput. Optim. Appl. 14 (1999) 367-381
    • (1999) Comput. Optim. Appl. , vol.14 , pp. 367-381
    • Mannino, C.1    Stefanutti, E.2
  • 17
    • 0036435029 scopus 로고    scopus 로고
    • A complementary pivoting approach to the maximum weight clique problem
    • Massaro A., Pelillo M., and Bomze I.M. A complementary pivoting approach to the maximum weight clique problem. SIAM J. Optim. 12 4 (2001) 928-948
    • (2001) SIAM J. Optim. , vol.12 , Issue.4 , pp. 928-948
    • Massaro, A.1    Pelillo, M.2    Bomze, I.M.3
  • 18
    • 33746928594 scopus 로고    scopus 로고
    • B.D. McKay, The nauty page, 〈http://cs.anu.edu.au/∼bdm/nauty/〉.
  • 20
    • 0000230999 scopus 로고
    • Maxima for graphs and a new proof of a theorem of Turan
    • Motzkin T.S., and Straus E.G. Maxima for graphs and a new proof of a theorem of Turan. Canad. J. Math. 17 4 (1965) 533-540
    • (1965) Canad. J. Math. , vol.17 , Issue.4 , pp. 533-540
    • Motzkin, T.S.1    Straus, E.G.2
  • 21
    • 0032624196 scopus 로고    scopus 로고
    • V.Y. Pan, Z.Q. Chen, The complexity of the matrix eigenproblem, in: The 21st Annual ACM Symposium on Theory of Computing, Atlanta, Georgia, ACM Press, New York, 1999, pp. 507-516.
  • 22
    • 33746866169 scopus 로고    scopus 로고
    • P. St-Louis, J.A. Ferland, B. Gendron, A penalty-evaporation heuristic in a decomposition method for the maximum clique problem, Techinical Report,Départment d' informatique et de recherche operationnelle, Université de Montréal,
  • 23
    • 0008975068 scopus 로고
    • A new complexity result on minimization of a quadratic function with a sphere constraint
    • Princeton University Press, Princeton
    • Ye Y. A new complexity result on minimization of a quadratic function with a sphere constraint. Recent Advances in Global Optimization (1992), Princeton University Press, Princeton 19-31
    • (1992) Recent Advances in Global Optimization , pp. 19-31
    • Ye, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.