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Volumn 26, Issue 1, 2013, Pages 86-108

An adaptive multistart tabu search approach to solve the maximum clique problem

Author keywords

Combinatorial optimization; Constrained neighborhood; Informed restart; Maximum clique; Tabu search

Indexed keywords

COMPUTATIONAL RESULTS; CONSTRAINED NEIGHBORHOOD; EFFECTIVE ALGORITHMS; INFORMED RESTART; MAXIMUM CLIQUE; MAXIMUM CLIQUE PROBLEMS; MULTISTART TABU SEARCHES; STATE-OF-THE-ART ALGORITHMS;

EID: 84878360804     PISSN: 13826905     EISSN: 15732886     Source Type: Journal    
DOI: 10.1007/s10878-011-9437-8     Document Type: Article
Times cited : (52)

References (29)
  • 1
    • 0022808049 scopus 로고
    • Finding a maximum clique in an arbitrary graph
    • 861370 0604.05024 10.1137/0215075
    • Balas E, Yu CS (1986) Finding a maximum clique in an arbitrary graph. SIAM J Comput 15(4):1054-1068
    • (1986) SIAM J Comput , vol.15 , Issue.4 , pp. 1054-1068
    • Balas, E.1    Yu, C.S.2
  • 2
    • 14844350541 scopus 로고    scopus 로고
    • A novel evolutionary formulation of the maximum independent set problem
    • 2112914 1079.90145 10.1007/s10878-004-4835-9
    • Barbosa V, Campos L (2004) A novel evolutionary formulation of the maximum independent set problem. J Comb Optim 8(4):419-437
    • (2004) J Comb Optim , vol.8 , Issue.4 , pp. 419-437
    • Barbosa, V.1    Campos, L.2
  • 3
    • 70349290825 scopus 로고    scopus 로고
    • Reactive and dynamic local search for max-clique: Engineering effective building blocks
    • 2579778 1173.90586 10.1016/j.cor.2009.02.013
    • Battiti R, Mascia F (2010) Reactive and dynamic local search for max-clique: engineering effective building blocks. Comput Oper Res 37(3):534-542
    • (2010) Comput Oper Res , vol.37 , Issue.3 , pp. 534-542
    • Battiti, R.1    Mascia, F.2
  • 4
    • 0141668007 scopus 로고    scopus 로고
    • Reactive local search for the maximum clique problem
    • 1811818 0985.68016 10.1007/s004530010074
    • Battiti R, Protasi M (2001) Reactive local search for the maximum clique problem. Algorithmica 29(4):610-637
    • (2001) Algorithmica , vol.29 , Issue.4 , pp. 610-637
    • Battiti, R.1    Protasi, M.2
  • 6
    • 0036722266 scopus 로고    scopus 로고
    • A heuristic for the maximum independent set problem based on optimization of a quadratic over a sphere
    • 1920212 1046.90071 10.1023/A:1014899909753
    • Busygin S, Butenko S, Pardalos PM (2002) A heuristic for the maximum independent set problem based on optimization of a quadratic over a sphere. J Comb Optim 6(3):287-297
    • (2002) J Comb Optim , vol.6 , Issue.3 , pp. 287-297
    • Busygin, S.1    Butenko, S.2    Pardalos, P.M.3
  • 7
    • 33746894163 scopus 로고    scopus 로고
    • A new trust region technique for the maximum weight clique problem
    • 2257814 1111.90020 10.1016/j.dam.2005.04.010
    • Busygin S (2006) A new trust region technique for the maximum weight clique problem. Discrete Appl Math 154(1):2080-2096
    • (2006) Discrete Appl Math , vol.154 , Issue.1 , pp. 2080-2096
    • Busygin, S.1
  • 8
    • 0025521978 scopus 로고
    • An exact algorithm for the maximum clique problem
    • 0711.90080 10.1016/0167-6377(90)90057-C
    • Carraghan R, Pardalos PM (1990) An exact algorithm for the maximum clique problem. Oper Res Lett 9:375-382
    • (1990) Oper Res Lett , vol.9 , pp. 375-382
    • Carraghan, R.1    Pardalos, P.M.2
  • 9
    • 0000517090 scopus 로고    scopus 로고
    • Object-oriented implementation of heuristic search methods for graph coloring, maximum clique, and satisfiability
    • D. Johnson M. Trick (eds) DIMACS series in discrete mathematics and theoretical computer science 26 Am. Math. Soc. Providence
    • Fleurent C, Ferland J (1996) Object-oriented implementation of heuristic search methods for graph coloring, maximum clique, and satisfiability. In: Johnson D, Trick M (eds) Proceedings of the 2nd DIMACS implementation challenge. DIMACS series in discrete mathematics and theoretical computer science, vol 26. Am. Math. Soc., Providence, pp 619-652
    • (1996) Proceedings of the 2nd DIMACS Implementation Challenge , pp. 619-652
    • Fleurent, C.1    Ferland, J.2
  • 10
    • 0001931981 scopus 로고
    • Stabulus: A technique for finding stable sets in large graphs with tabu search
    • 0685.68056 10.1007/BF02243141
    • Friden C, Hertz A, de Werra D (1989) Stabulus: A technique for finding stable sets in large graphs with tabu search. Computing 42:35-44
    • (1989) Computing , vol.42 , pp. 35-44
    • Friden, C.1    Hertz, A.2    De Werra, D.3
  • 11
    • 0000965650 scopus 로고    scopus 로고
    • Hybrid evolutionary algorithms for graph coloring
    • 1733298 0958.90071 10.1023/A:1009823419804
    • Galinier P, Hao JK (1999) Hybrid evolutionary algorithms for graph coloring. J Comb Optim 3(4):379-397
    • (1999) J Comb Optim , vol.3 , Issue.4 , pp. 379-397
    • Galinier, P.1    Hao, J.K.2
  • 12
    • 21144478761 scopus 로고
    • Solving the maximum clique problem using a tabu search approach
    • 0775.90297 10.1007/BF02023002
    • Gendreau M, Soriano P, Salvail L (1993) Solving the maximum clique problem using a tabu search approach. Ann Oper Res 41:385-403
    • (1993) Ann Oper Res , vol.41 , pp. 385-403
    • Gendreau, M.1    Soriano, P.2    Salvail, L.3
  • 13
    • 0004215426 scopus 로고    scopus 로고
    • Kluwer Academic Norwell 0930.90083 10.1007/978-1-4615-6089-0
    • Glover F, Laguna M (1997) Tabu search. Kluwer Academic, Norwell
    • (1997) Tabu Search
    • Glover, F.1    Laguna, M.2
  • 14
    • 58449085212 scopus 로고    scopus 로고
    • Simple ingredients leading to very efficient heuristics for the maximum clique problem
    • 10.1007/s10732-007-9055-x
    • Grosso A, Locatelli M, Pullan W (2008) Simple ingredients leading to very efficient heuristics for the maximum clique problem. J Heuristics 14(6):587-612
    • (2008) J Heuristics , vol.14 , Issue.6 , pp. 587-612
    • Grosso, A.1    Locatelli, M.2    Pullan, W.3
  • 16
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • R.E. Miller J.W. Thatcher (eds) Plenum New York 10.1007/978-1-4684-2001- 2-9
    • Karp RM (1972) Reducibility among combinatorial problems. In: Miller RE, Thatcher JW (eds) Complexity of computer computations. Plenum, New York, pp 85-103
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 17
    • 22344440317 scopus 로고    scopus 로고
    • An effective local search for the maximum clique problem
    • 2155137 1185.68283 10.1016/j.ipl.2005.05.010
    • Katayama K, Hamamoto A, Narihisa H (2005) An effective local search for the maximum clique problem. Inf Process Lett 95(5):503-511
    • (2005) Inf Process Lett , vol.95 , Issue.5 , pp. 503-511
    • Katayama, K.1    Hamamoto, A.2    Narihisa, H.3
  • 18
    • 0042207700 scopus 로고    scopus 로고
    • A simple heuristic based genetic algorithm for the maximum clique problem
    • Marchiori E (1998) A simple heuristic based genetic algorithm for the maximum clique problem. In: Proceedings of ACM symposium on applied computing, pp 366-373
    • (1998) Proceedings of ACM Symposium on Applied Computing , pp. 366-373
    • Marchiori, E.1
  • 19
    • 84878638538 scopus 로고    scopus 로고
    • Genetic, iterated and multistart local search for the maximum clique problem
    • Proceedings of EvoWorkshops 2279 10.1007/3-540-46004-7-12
    • Marchiori E (2002) Genetic, iterated and multistart local search for the maximum clique problem. In: Applications of evolutionary computing. Proceedings of EvoWorkshops, vol 2279, pp 112-121
    • (2002) Applications of Evolutionary Computing , pp. 112-121
    • Marchiori, E.1
  • 20
    • 84867997005 scopus 로고    scopus 로고
    • A fast algorithm for the maximum clique problem
    • 10.1016/S0166-218X(01)00290-6
    • Östergärd PJR (2002) A fast algorithm for the maximum clique problem. Discrete Appl Math 120:195-205
    • (2002) Discrete Appl Math , vol.120 , pp. 195-205
    • Östergärd, P.J.R.1
  • 21
    • 0038579896 scopus 로고    scopus 로고
    • The maximum clique problem
    • 1266324 10.1007/BF01098364
    • Pardalos PM, Xue J (2002) The maximum clique problem. J Glob Optim 4:301-328
    • (2002) J Glob Optim , vol.4 , pp. 301-328
    • Pardalos, P.M.1    Xue, J.2
  • 22
    • 33748438995 scopus 로고    scopus 로고
    • Phased local search for the maximum clique problem
    • 2257677 1255.90122 10.1007/s10878-006-9635-y
    • Pullan W (2006) Phased local search for the maximum clique problem. J Comb Optim 12(3):303-323
    • (2006) J Comb Optim , vol.12 , Issue.3 , pp. 303-323
    • Pullan, W.1
  • 23
    • 33744489605 scopus 로고    scopus 로고
    • Dynamic local search for the maximum clique problem
    • 1182.68065
    • Pullan W, Hoos HH (2006) Dynamic local search for the maximum clique problem. J Artif Intell Res 25:159-185
    • (2006) J Artif Intell Res , vol.25 , pp. 159-185
    • Pullan, W.1    Hoos, H.H.2
  • 25
    • 32544433135 scopus 로고    scopus 로고
    • A hybrid heuristic for the maximum clique problem
    • 10.1007/s10732-006-3750-x
    • Singh A, Gupta AK (2008) A hybrid heuristic for the maximum clique problem. J Heuristics 12:5-22
    • (2008) J Heuristics , vol.12 , pp. 5-22
    • Singh, A.1    Gupta, A.K.2
  • 26
    • 35248814346 scopus 로고    scopus 로고
    • An efficient branch-and-bound algorithm for finding a maximum clique
    • 2062225 10.1007/3-540-45066-1-22
    • Tomita E, Seki T (2003) An efficient branch-and-bound algorithm for finding a maximum clique. Discrete Math Theor Comput Sci 2731:278-289
    • (2003) Discrete Math Theor Comput Sci , vol.2731 , pp. 278-289
    • Tomita, E.1    Seki, T.2
  • 27
    • 17644405107 scopus 로고    scopus 로고
    • Evolutionary algorithm with the guided mutation for the maximum clique problem
    • 10.1109/TEVC.2004.840835
    • Zhang QF, Sun JY, Tsang E (2005) Evolutionary algorithm with the guided mutation for the maximum clique problem. IEEE Trans Evol Comput 9(2):192-200
    • (2005) IEEE Trans Evol Comput , vol.9 , Issue.2 , pp. 192-200
    • Zhang, Q.F.1    Sun, J.Y.2    Tsang, E.3
  • 28
    • 79958163046 scopus 로고    scopus 로고
    • Coloring large graphs based on independent set extraction
    • 2804068 1250.05007 10.1016/j.cor.2011.04.002
    • Wu Q, Hao JK (2012a) Coloring large graphs based on independent set extraction. Comput Oper Res 39(2):283-290
    • (2012) Comput Oper Res , vol.39 , Issue.2 , pp. 283-290
    • Wu, Q.1    Hao, J.K.2
  • 29
    • 81555205772 scopus 로고    scopus 로고
    • An effective heuristic algorithm for sum coloring of graphs
    • 10.1016/j.cor.2011.09.010 2859556 1250.05114 10.1016/j.cor.2011.09.010
    • Wu Q, Hao JK (2012b) An effective heuristic algorithm for sum coloring of graphs. Comput. Oper. Res. 39(7):1593-1600. doi: 10.1016/j.cor.2011.09.010
    • (2012) Comput. Oper. Res. , vol.39 , Issue.7 , pp. 1593-1600
    • Wu, Q.1    Hao, J.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.