메뉴 건너뛰기




Volumn 161, Issue 6, 2009, Pages 944-955

A heuristic for the stability number of a graph based on convex quadratic programming and tabu search

Author keywords

[No Author keywords available]

Indexed keywords


EID: 70350325293     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-009-9613-x     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 14644429133 scopus 로고
    • A sublinear-time randomized parallel algorithm for the maximum clique problem in perfect graphs
    • F. Alizadeh, A sublinear-time randomized parallel algorithm for the maximum clique problem in perfect graphs, In: ACM-SIAM Symposium on Discrete Algorithms, Vol. 2, 188-194 (1991).
    • (1991) ACM-SIAM Symposium on Discrete Algorithms , vol.2 , pp. 188-194
    • Alizadeh, F.1
  • 2
    • 0001262835 scopus 로고
    • Approximating the independence number via the theta-function
    • N. Alon and N. Kahale, Approximating the independence number via the theta-function, Math. Program., 80, No. 3, 253-264 (1988).
    • (1988) Math. Program. , vol.80 , Issue.3 , pp. 253-264
    • Alon, N.1    Kahale, N.2
  • 3
    • 0009062749 scopus 로고    scopus 로고
    • Approximating maximum stable set and minimum graph coloring problems with the positive semidefinite relaxation
    • Eds. M. Ferris and J. Pang, Kluwer Academic Publishers
    • S. Benson and Y. Ye, Approximating maximum stable set and minimum graph coloring problems with the positive semidefinite relaxation, In: Applications and Algorithms of complementarity, Eds. M. Ferris and J. Pang, Kluwer Academic Publishers, (2000), pp. 1-18.
    • (2000) Applications and Algorithms of Complementarity , pp. 1-18
    • Benson, S.1    Ye, Y.2
  • 4
    • 84943765256 scopus 로고    scopus 로고
    • Two numerical methods for optimizing matrix stability
    • J. V. Burke, A. S. Lewis, and M. L. Overton, Two numerical methods for optimizing matrix stability, Linear Algebra Appl., 351-352, 117-145 (2002).
    • (2002) Linear Algebra Appl. , vol.351-352 , pp. 117-145
    • Burke, J.V.1    Lewis, A.S.2    Overton, M.L.3
  • 5
    • 23844446458 scopus 로고    scopus 로고
    • A robust gradient sampling algorithm for nonsmooth, nonconvex optimization
    • J. V. Burke, A. S. Lewis, and M. L. Overton, A robust gradient sampling algorithm for nonsmooth, nonconvex optimization, SIAM J. Optim., 15, No. 3, 751-779 (2005).
    • (2005) SIAM J. Optim. , vol.15 , Issue.3 , pp. 751-779
    • Burke, J.V.1    Lewis, A.S.2    Overton, M.L.3
  • 6
    • 3543090051 scopus 로고    scopus 로고
    • Maximum stable formulations and heuristics based on continuous optimization
    • S. Burer, R. D. C. Monteiro, and Y. Zhang, Maximum stable formulations and heuristics based on continuous optimization, Math Program., 94, No. 1, 137-166 (2002).
    • (2002) Math Program. , vol.94 , Issue.1 , pp. 137-166
    • Burer, S.1    Monteiro, R.D.C.2    Zhang, Y.3
  • 8
    • 70350300554 scopus 로고    scopus 로고
    • Estruturas de vizinhança e procura local no problema da clique máxima
    • L. Cavique, C. Rego, and I. Themido, Estruturas de vizinhança e procura local no problema da clique máxima, Investigacón Oper., 22, 1-18 (2002).
    • (2002) Investigacón Oper. , vol.22 , pp. 1-18
    • Cavique, L.1    Rego, C.2    Themido, I.3
  • 9
    • 84888773119 scopus 로고    scopus 로고
    • A scatter search algorithm for the maximum clique problem
    • eds. C. Ribeiro and P. Hansen, Kluwer Academic Publishers
    • L. Cavique, C. Rego, and I. Themido, A scatter search algorithm for the maximum clique problem, In: Essays and Surveys in Metaheuristics, eds. C. Ribeiro and P. Hansen, Kluwer Academic Publishers (2002), pp. 227-244.
    • (2002) Essays and Surveys in Metaheuristics , pp. 227-244
    • Cavique, L.1    Rego, C.2    Themido, I.3
  • 11
    • 0002267257 scopus 로고    scopus 로고
    • A template for scatter search and path relinking
    • Eds. J.-K. Hao, E. Lutton, E. Ronald, M. Schoenaurer and D. Snyers
    • F. Glover, A template for scatter search and path relinking, In: Lecture Notes in Computer Science, Eds. J.-K. Hao, E. Lutton, E. Ronald, M. Schoenaurer and D. Snyers (1997), pp. 1-5.
    • (1997) Lecture Notes in Computer Science , pp. 1-5
    • Glover, F.1
  • 12
    • 0345075186 scopus 로고    scopus 로고
    • Scatter search and path relinking
    • (D. Corne, M. Dorigo, and F. Glover, eds.), McGraw-Hill International
    • F. Glover, Scatter search and path relinking, In: New Ideas in Optimization (D. Corne, M. Dorigo, and F. Glover, eds.), McGraw-Hill International (1999).
    • (1999) New Ideas in Optimization
    • Glover, F.1
  • 14
    • 0242511176 scopus 로고    scopus 로고
    • Computational experience with stable set relaxations
    • G. Gruber and F. Rendl, Computational experience with stable set relaxations, SIAM J. Optim., 13, No. 4, 1014-1028 (2003).
    • (2003) SIAM J. Optim. , vol.13 , Issue.4 , pp. 1014-1028
    • Gruber, G.1    Rendl, F.2
  • 15
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • D. S. Johnson, Approximation algorithms for combinatorial problems, J. Comput. System Sci., 9, 256-278 (1974).
    • (1974) J. Comput. System Sci. , vol.9 , pp. 256-278
    • Johnson, D.S.1
  • 18
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • L. Lovász, On the Shannon capacity of a graph, IEEE Trans. Inform. Theory, 25, No. 2, 1-7 (1979).
    • (1979) IEEE Trans. Inform. Theory , vol.25 , Issue.2 , pp. 1-7
    • Lovász, L.1
  • 19
    • 0042769653 scopus 로고
    • An upper bound on the independence number of a graph computable in polynomial time
    • C. J. Luz, An upper bound on the independence number of a graph computable in polynomial time, Oper. Res. Lett., 18, 139-145 (1995).
    • (1995) Oper. Res. Lett. , vol.18 , pp. 139-145
    • Luz, C.J.1
  • 20
    • 33646848903 scopus 로고    scopus 로고
    • A convex quadratic characterization of the Lovász theta number
    • C. J. Luz and A. Schrijver, A convex quadratic characterization of the Lovász theta number, SIAM J. Discrete Math., 19, No. 2, 382-387 (2005).
    • (2005) SIAM J. Discrete Math. , vol.19 , Issue.2 , pp. 382-387
    • Luz, C.J.1    Schrijver, A.2
  • 22
    • 33645157104 scopus 로고    scopus 로고
    • On extracting maximum stable sets in perfect graphs using Lovász's theta function
    • E. A. Yildirim and X. Fan, On extracting maximum stable sets in perfect graphs using Lovász's theta function, Comput. Optim. Appl., 33, Nos. 2-3, 229-247 (2006).
    • (2006) Comput. Optim. Appl. , vol.33 , Issue.2-3 , pp. 229-247
    • Yildirim, E.A.1    Fan, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.