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Volumn 121, Issue 1-3, 2002, Pages 27-49

Annealed replication: A new heuristic for the maximum clique problem

Author keywords

Combinatorial optimization; Dynamical systems; Independent set; Quadratic optimization; Replicator dynamics; Stable set

Indexed keywords


EID: 84867960097     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(01)00233-5     Document Type: Article
Times cited : (35)

References (42)
  • 5
    • 84965063004 scopus 로고
    • An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology
    • L.E. Baum, and J.A. Eagon An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology Bull. Amer. Math. Soc. 73 1967 360 363
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 360-363
    • Baum, L.E.1    Eagon, J.A.2
  • 6
    • 84972571328 scopus 로고
    • Growth transformations for functions on manifolds
    • L.E. Baum, and G.R. Sell Growth transformations for functions on manifolds Pacific J. Math. 27 2 1968 211 227
    • (1968) Pacific J. Math. , vol.27 , Issue.2 , pp. 211-227
    • Baum, L.E.1    Sell, G.R.2
  • 7
    • 0000468786 scopus 로고
    • Lotka-Volterra equation and replicator dynamics: A two-dimensional classification
    • I.M. Bomze Lotka-Volterra equation and replicator dynamics: a two-dimensional classification Biol. Cybernet. 48 1983 201 211
    • (1983) Biol. Cybernet. , vol.48 , pp. 201-211
    • Bomze, I.M.1
  • 8
    • 0002596390 scopus 로고
    • Non-cooperative two-person games in biology: A classification
    • I.M. Bomze Non-cooperative two-person games in biology: a classification Internat. J. Game Theory 15 1986 31 57
    • (1986) Internat. J. Game Theory , vol.15 , pp. 31-57
    • Bomze, I.M.1
  • 9
    • 0000119987 scopus 로고
    • Lotka-Volterra equation and replicator dynamics: New issues in classification
    • I.M. Bomze Lotka-Volterra equation and replicator dynamics: new issues in classification Biol. Cybernet. 72 1995 447 453
    • (1995) Biol. Cybernet. , vol.72 , pp. 447-453
    • Bomze, I.M.1
  • 10
    • 0000095120 scopus 로고    scopus 로고
    • Evolution towards the Maximum Clique
    • I.M. Bomze Evolution towards the maximum clique J. Global Optim. 10 1997 143 164 (Pubitemid 127502309)
    • (1997) Journal of Global Optimization , vol.10 , Issue.2 , pp. 143-164
    • Bomze, I.M.1
  • 12
    • 0002450116 scopus 로고    scopus 로고
    • Evolutionary approach to the maximum clique problem: Empirical evidence on a larger scale
    • I.M. Bomze, T. Csendes, R. Horst, P.M. Pardalos, Kluwer Dordrecht
    • I.M. Bomze, M. Pelillo, and R. Giacomini Evolutionary approach to the maximum clique problem: Empirical evidence on a larger scale I.M. Bomze, T. Csendes, R. Horst, P.M. Pardalos, Developments in Global Optimization 1997 Kluwer Dordrecht 95 108
    • (1997) Developments in Global Optimization , pp. 95-108
    • Bomze, I.M.1    Pelillo, M.2    Giacomini, R.3
  • 13
    • 0041357831 scopus 로고    scopus 로고
    • Replicator dynamics for evolution towards the maximum clique: Variations and experiments
    • R. De Leone, A. Murli, P.M. Pardalos, G. Toraldo, Kluwer Dordrecht
    • I.M. Bomze, and F. Rendl Replicator dynamics for evolution towards the maximum clique: variations and experiments R. De Leone, A. Murli, P.M. Pardalos, G. Toraldo, High Performance Algorithms and Software in Nonlinear Optimization 1998 Kluwer Dordrecht 53 68
    • (1998) High Performance Algorithms and Software in Nonlinear Optimization , pp. 53-68
    • Bomze, I.M.1    Rendl, F.2
  • 14
    • 0033425590 scopus 로고    scopus 로고
    • Genetic engineering via negative fitness: Evolutionary dynamics for global optimization
    • I.M. Bomze, and V. Stix Genetic engineering via negative fitness: evolutionary dynamics for global optimization Ann. Oper. Res. 89 1999 297 318
    • (1999) Ann. Oper. Res. , vol.89 , pp. 297-318
    • Bomze, I.M.1    Stix, V.2
  • 15
    • 84867994643 scopus 로고    scopus 로고
    • Bounds on the maximum clique of a graph
    • to appear
    • M. Budinich, Bounds on the maximum clique of a graph, Disc. Appl. Math., to appear.
    • Disc. Appl. Math.
    • Budinich, M.1
  • 18
    • 0030100766 scopus 로고    scopus 로고
    • Interactive proofs and the hardness of approximating clique
    • U. Feige, S. Goldwasser, L. Lovász, S. Safra, and M. Szegedy Interactive proofs and the hardness of approximating clique J. ACM 43 2 1996 268 292
    • (1996) J. ACM , vol.43 , Issue.2 , pp. 268-292
    • Feige, U.1    Goldwasser, S.2    Lovász, L.3    Safra, S.4    Szegedy, M.5
  • 20
    • 0001300064 scopus 로고
    • Polyhedral combinatorics and neural networks
    • A.H. Gee, and R.W. Prager Polyhedral combinatorics and neural networks Neural Comput. 6 1994 161 180
    • (1994) Neural Comput. , vol.6 , pp. 161-180
    • Gee, A.H.1    Prager, R.W.2
  • 25
    • 0011620023 scopus 로고    scopus 로고
    • Cliques, Coloring, and Satisfiability: Second DIMACS Implementation Challenge
    • American Mathematical Society, Providence, RI
    • D.S. Johnson, M.A. Trick (Eds.), Cliques, Coloring, and Satisfiability: Second DIMACS Implementation Challenge, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 26, American Mathematical Society, Providence, RI, 1996 (see also http://dimacs.rutgers.edu/Volumes/Vol26.html).
    • (1996) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.26
    • Johnson, D.S.1    Trick, M.A.2
  • 26
    • 84968495731 scopus 로고
    • Mathematical models, problems and controversies of evolutionary theory
    • S. Karlin Mathematical models, problems and controversies of evolutionary theory Bull. Amer. Math. Soc. 10 1984 221 273
    • (1984) Bull. Amer. Math. Soc. , vol.10 , pp. 221-273
    • Karlin, S.1
  • 27
    • 0001748889 scopus 로고
    • The stable, center-stable, center, center-unstable, unstable manifolds
    • A. Kelley The stable, center-stable, center, center-unstable, unstable manifolds J. Differential Equations 3 1967 546 570
    • (1967) J. Differential Equations , vol.3 , pp. 546-570
    • Kelley, A.1
  • 28
    • 0001210377 scopus 로고
    • Stability of the center-stable manifold
    • A. Kelley Stability of the center-stable manifold J. Math. Anal. Appl. 18 1967 336 344
    • (1967) J. Math. Anal. Appl. , vol.18 , pp. 336-344
    • Kelley, A.1
  • 29
    • 84966172880 scopus 로고
    • On the change of population fitness by natural selection
    • M. Kimura On the change of population fitness by natural selection Heredity 12 1958 145 167
    • (1958) Heredity , vol.12 , pp. 145-167
    • Kimura, M.1
  • 30
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • S. Kirkpatrick, C.D. Gelatt Jr., and M.P. Vecchi Optimization by simulated annealing Science 220 4598 1983 671 679
    • (1983) Science , vol.220 , Issue.4598 , pp. 671-679
    • Kirkpatrick, S.1    Gelatt, Jr.C.D.2    Vecchi, M.P.3
  • 31
    • 0020734214 scopus 로고
    • An introduction to the application of the theory of probabilistic functions of a Markov process to automatic speech recognition
    • S.E. Levinson, L.R. Rabiner, and M.M. Sondhi An introduction to the application of the theory of probabilistic functions of a Markov process to automatic speech recognition Bell System Tech. J. 62 1983 1035 1074
    • (1983) Bell System Tech. J. , vol.62 , pp. 1035-1074
    • Levinson, S.E.1    Rabiner, L.R.2    Sondhi, M.M.3
  • 33
    • 0000230999 scopus 로고
    • Maxima for graphs and a new proof of a theorem of Turán
    • T.S. Motzkin, and E.G. Straus Maxima for graphs and a new proof of a theorem of Turán Canad. J. Math. 17 1965 533 540
    • (1965) Canad. J. Math. , vol.17 , pp. 533-540
    • Motzkin, T.S.1    Straus, E.G.2
  • 35
    • 9744260535 scopus 로고    scopus 로고
    • Continuous approaches to discrete optimization problems
    • G. Di Pillo, F. Giannessi, Plenum Press New York
    • P.M. Pardalos Continuous approaches to discrete optimization problems G. Di Pillo, F. Giannessi, Nonlinear Optimization and Applications 1996 Plenum Press New York 313 328
    • (1996) Nonlinear Optimization and Applications , pp. 313-328
    • Pardalos, P.M.1
  • 36
    • 0000110396 scopus 로고
    • A global optimization approach for solving the maximum clique problem
    • P.M. Pardalos, and A.T. Phillips A global optimization approach for solving the maximum clique problem Internat. J. Computer Math. 33 1990 209 216
    • (1990) Internat. J. Computer Math. , vol.33 , pp. 209-216
    • Pardalos, P.M.1    Phillips, A.T.2
  • 37
    • 0029462615 scopus 로고
    • Relaxation labeling networks for the maximum clique problem
    • M. Pelillo Relaxation labeling networks for the maximum clique problem J. Artificial Neural Networks 2 1995 313 328
    • (1995) J. Artificial Neural Networks , vol.2 , pp. 313-328
    • Pelillo, M.1
  • 38
    • 0031246228 scopus 로고    scopus 로고
    • The Dynamics of Nonlinear Relaxation Labeling Processes
    • M. Pelillo The dynamics of nonlinear relaxation labeling processes J. Math. Imaging Vision 7 4 1997 309 323 (Pubitemid 127507091)
    • (1997) Journal of Mathematical Imaging and Vision , vol.7 , Issue.4 , pp. 309-323
    • Pelillo, M.1
  • 39
    • 0029462617 scopus 로고
    • Feasible and infeasible maxima in a quadratic program for maximum clique
    • M. Pelillo, and A. Jagota Feasible and infeasible maxima in a quadratic program for maximum clique J. Artificial Neural Networks 2 1995 411 419
    • (1995) J. Artificial Neural Networks , vol.2 , pp. 411-419
    • Pelillo, M.1    Jagota, A.2
  • 40
    • 0017819644 scopus 로고
    • Evolutionarily stable strategies and game dynamics
    • DOI 10.1016/0025-5564(78)90077-9
    • P. Taylor, and L. Jonker Evolutionarily stable strategies and game dynamics Math. Biosci. 40 1978 145 156 (Pubitemid 8403401)
    • (1978) Mathematical Biosciences , vol.40 , Issue.1-2 , pp. 145-156
    • Taylor, P.D.1    Jonker, L.B.2
  • 41
    • 0034325443 scopus 로고    scopus 로고
    • Continuous-time relaxation labeling processes
    • A. Torsello, and M. Pelillo Continuous-time relaxation labeling processes Pattern Recognition 33 2000 1897 1908
    • (2000) Pattern Recognition , vol.33 , pp. 1897-1908
    • Torsello, A.1    Pelillo, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.