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Volumn 44, Issue 2, 2009, Pages 343-361

Computing the metric dimension of graphs by genetic algorithms

Author keywords

Evolutionary approach; Graph theory; Metric dimension

Indexed keywords

APPROXIMATE SOLUTION; BINARY ENCODINGS; CACHING TECHNIQUE; CREW SCHEDULING; EVOLUTIONARY APPROACH; GENETIC OPERATORS; GRAPH COLORINGS; HAMMING GRAPHS; HYPER-CUBES; METRIC DIMENSION; NP-HARD PROBLEM; PSEUDO-BOOLEAN; STANDARD TESTS; TEST INSTANCES;

EID: 70449413740     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-007-9154-5     Document Type: Article
Times cited : (41)

References (52)
  • 3
    • 0000369074 scopus 로고    scopus 로고
    • Obtaining test problems via internet
    • 10.1007/BF02404002 http://www.brunel.ac.uk/depts/ma/research/jeb/orlib
    • J.E. Beasley 1996 Obtaining test problems via internet J. Glob. Optim. 8 429 433 10.1007/BF02404002 http://www.brunel.ac.uk/depts/ma/research/jeb/orlib
    • (1996) J. Glob. Optim. , vol.8 , pp. 429-433
    • Beasley, J.E.1
  • 4
    • 0030575682 scopus 로고    scopus 로고
    • A tree search algorithm for the crew scheduling problem
    • DOI 10.1016/0377-2217(95)00093-3
    • J.E. Beasley B. Cao 1996 A tree search algorithm for the crew scheduling problem Eur. J. Oper. Res. 94 517 526 10.1016/0377-2217(95)00093-3 (Pubitemid 126391959)
    • (1996) European Journal of Operational Research , vol.94 , Issue.3 , pp. 517-526
    • Beasley, J.E.1    Cao, B.2
  • 5
    • 70449369507 scopus 로고    scopus 로고
    • On the metric dimension of some families of graphs
    • Hyères, France
    • Cáceres, J., Hernando, C., Mora, M., Pelayo, I.M., Puertas, M.L., Seara, C.: On the metric dimension of some families of graphs. In: Proc. 7th Internacional Colloquium on Graph Theory-ICGT'05, Hyères, France (2005)
    • (2005) Proc. 7th Internacional Colloquium on Graph Theory-ICGT'05
    • Cáceres, J.1
  • 6
    • 70449393699 scopus 로고    scopus 로고
    • On the metric dimension of graph products
    • Durham, England
    • Cáceres, J., Hernando, C., Mora, M., Pelayo, I.M., Puertas, M.L., Seara, C., Wood, D.R.: On the metric dimension of graph products. In: Proc. 20th British Combinatorial Conference, Durham, England (2005)
    • (2005) Proc. 20th British Combinatorial Conference
    • Cáceres, J.1
  • 9
    • 0037756351 scopus 로고    scopus 로고
    • Resolvability in graphs and the metric dimension of a graph
    • 10.1016/S0166-218X(00)00198-0 1780464
    • G. Chartrand L. Eroha M.A. Johnson O.R. Oellermann 2000 Resolvability in graphs and the metric dimension of a graph Discrete Appl. Math. 105 99 113 10.1016/S0166-218X(00)00198-0 1780464
    • (2000) Discrete Appl. Math. , vol.105 , pp. 99-113
    • Chartrand, G.1    Eroha, L.2    Johnson, M.A.3    Oellermann, O.R.4
  • 10
    • 0033720492 scopus 로고    scopus 로고
    • Resolvability and the upper dimension of graphs
    • DOI 10.1016/S0898-1221(00)00126-7
    • G. Chartrand C. Poisson P. Zhang 2000 Resolvability and the upper dimension of graphs Comput. Math. Appl. 39 19 28 10.1016/S0898-1221(00)00126-7 1763834 (Pubitemid 30849886)
    • (2000) Computers and Mathematics with Applications , vol.39 , Issue.12 , pp. 19-28
    • Chartrand, G.1    Poisson, C.2    Zhang, P.3
  • 11
    • 17844403357 scopus 로고    scopus 로고
    • The metric dimension and metric independence of a graph
    • J.D. Currie O.R. Oellerman 2001 The metric dimension and metric independence of a graph J. Comb. Math. Comb. Comput. 39 157 167
    • (2001) J. Comb. Math. Comb. Comput. , vol.39 , pp. 157-167
    • Currie, J.D.1    Oellerman, O.R.2
  • 12
    • 44649182838 scopus 로고    scopus 로고
    • On some interconnections between combinatorial optimization and extremal graph theory
    • 10.2298/YJOR0402147C 2421095
    • D. Cvetković P. Hansen V. Kovačević- Vujčić 2004 On some interconnections between combinatorial optimization and extremal graph theory Yugosl. J. Oper. Res. 14 2 147 154 10.2298/YJOR0402147C 2421095
    • (2004) Yugosl. J. Oper. Res. , vol.14 , Issue.2 , pp. 147-154
    • Cvetković, D.1    Hansen, P.2    Kovačević- Vujčić, V.3
  • 14
    • 31344431615 scopus 로고    scopus 로고
    • The metric dimension of Cayley digraphs
    • DOI 10.1016/j.disc.2005.09.015, PII S0012365X05005959
    • M. Fehr S. Gosselin O.R. Oellermann 2006 The metric dimension of Cayley digraphs Discrete Math. 306 1 31 41 10.1016/j.disc.2005.09.015 2202072 (Pubitemid 43144812)
    • (2006) Discrete Mathematics , vol.306 , Issue.1 , pp. 31-41
    • Fehr, M.1    Gosselin, S.2    Oellermann, O.R.3
  • 15
    • 0346335659 scopus 로고    scopus 로고
    • Fine-grained tournament selection operator in genetic algorithms
    • 2022675
    • V. Filipović 2003 Fine-grained tournament selection operator in genetic algorithms Comput. Inform. 22 143 161 2022675
    • (2003) Comput. Inform. , vol.22 , pp. 143-161
    • Filipović, V.1
  • 18
    • 27844522089 scopus 로고    scopus 로고
    • Genetic and hybrid algorithms for graph coloring
    • C. Fleurent J.A. Ferland 1996 Genetic and hybrid algorithms for graph coloring Ann. Oper. Res. 63 437 461 10.1007/BF02125407 (Pubitemid 126729251)
    • (1996) Annals of Operations Research , vol.63 , pp. 437-461
    • Fleurent, C.1    Ferland, J.A.2
  • 20
    • 0034818087 scopus 로고    scopus 로고
    • Variable neighborhood search: Principles and applications
    • DOI 10.1016/S0377-2217(00)00100-4
    • P. Hansen N. Mladenović 2001 Variable neighborhood search: Principles and applications Eur. J. Oper. Res. 130 3 449 467 10.1016/S0377-2217(00)00100-4 (Pubitemid 32875304)
    • (2001) European Journal of Operational Research , vol.130 , Issue.3 , pp. 449-467
    • Hansen, P.1    Mladenovic, N.2
  • 21
    • 0007142156 scopus 로고
    • On the metric dimension of a graph
    • 457289
    • F. Harary R.A. Melter 1976 On the metric dimension of a graph Ars Comb. 2 191 195 457289
    • (1976) Ars Comb. , vol.2 , pp. 191-195
    • Harary, F.1    Melter, R.A.2
  • 22
    • 0043023858 scopus 로고    scopus 로고
    • Guidelines for the use of meta-heuristics in combinatorial optimization
    • 10.1016/S0377-2217(02)00823-8 2014074
    • A. Hertz M. Widmer 2003 Guidelines for the use of meta-heuristics in combinatorial optimization Eur. J. Oper. Res. 151 247 252 10.1016/S0377-2217(02) 00823-8 2014074
    • (2003) Eur. J. Oper. Res. , vol.151 , pp. 247-252
    • Hertz, A.1    Widmer, M.2
  • 24
    • 33745790662 scopus 로고    scopus 로고
    • Improving graph colouring algorithms and heuristics using a novel representation
    • Springer, Berlin
    • Juhos, I., van Hemert, J.I.: Improving graph colouring algorithms and heuristics using a novel representation. In: Lecture Notes in Computer Science, vol. 3906, pp. 123-134. Springer, Berlin (2006)
    • (2006) Lecture Notes in Computer Science , vol.3906 , pp. 123-134
    • Juhos, I.1    Van Hemert, J.I.2
  • 27
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • 10.1126/science.220.4598.671 702485 http://citeseer.ist.psu.edu/ kirkpatrick83optimization.html
    • S. Kirkpatrick C.D. Gelatt M.P. Vecchi 1983 Optimization by simulated annealing Science 220 671 680 10.1126/science.220.4598.671 702485 http://citeseer.ist.psu.edu/kirkpatrick83optimization.html
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 28
    • 70449380399 scopus 로고    scopus 로고
    • Continuous variable neighborhood search: Comparison with exact methods
    • (accepted for publication)
    • Kovačević-Vujčić, V., Mladenović, N., Čangalović, M., Dražić, M.: Continuous variable neighborhood search: comparison with exact methods. Yugosl. J. Oper. Res. (accepted for publication)
    • Yugosl. J. Oper. Res.
    • Kovačević-Vujčić, V.1
  • 29
    • 33748654439 scopus 로고    scopus 로고
    • Improving performances of the genetic algorithm by caching
    • J. Kratica 1999 Improving performances of the genetic algorithm by caching Comput. Artif. Intell. 18 271 283
    • (1999) Comput. Artif. Intell. , vol.18 , pp. 271-283
    • Kratica, J.1
  • 31
    • 33846332738 scopus 로고    scopus 로고
    • Solving the uncapacitated multiple allocation p-hub center problem by genetic algorithm
    • DOI 10.1142/S0217595906001042
    • J. Kratica Z. Stanimirović 2006 Solving the uncapacitated multiple allocation p-hub center problem by genetic algorithm Asia-Pacific J. Oper. Res. 24 4 425 438 10.1142/S0217595906001042 (Pubitemid 46113145)
    • (2006) Asia-Pacific Journal of Operational Research , vol.23 , Issue.4 , pp. 425-437
    • Kratica, J.1    Stanimirovic, Z.2
  • 32
    • 33644586026 scopus 로고    scopus 로고
    • Genetic algorithms for solving uncapacitated multiple allocation hub median problem
    • J. Kratica Z. Stanimirović D. Tošić V. Filipović 2005 Genetic algorithms for solving uncapacitated multiple allocation hub median problem Comput. Inform. 24 415 426
    • (2005) Comput. Inform. , vol.24 , pp. 415-426
    • Kratica, J.1    Stanimirović, Z.2    Tošić, D.3    Filipović, V.4
  • 33
    • 34147154835 scopus 로고    scopus 로고
    • Two genetic algorithms for solving the uncapacitated single allocation p-hub median problem
    • DOI 10.1016/j.ejor.2006.06.056, PII S0377221706006163
    • J. Kratica Z. Stanimirović D. Tošić V. Filipović 2007 Two genetic algorithms for solving the uncapacitated single allocation p-hub median problem Eur. J. Oper. Res. 182 1 15 28 10.1016/j.ejor.2006.06.056 (Pubitemid 46562550)
    • (2007) European Journal of Operational Research , vol.182 , Issue.1 , pp. 15-28
    • Kratica, J.1    Stanimirovic, Z.2    Tosic, D.3    Filipovic, V.4
  • 35
    • 0348220849 scopus 로고    scopus 로고
    • A memetic algorithm for minimum-cost vertex-biconnectivity augmentation of graphs
    • 10.1023/B:HEUR.0000004810.27436.30
    • I. Ljubić G.R. Raidl 2003 A memetic algorithm for minimum-cost vertex-biconnectivity augmentation of graphs J. Heuristics 9 401 427 10.1023/B:HEUR.0000004810.27436.30
    • (2003) J. Heuristics , vol.9 , pp. 401-427
    • Ljubić, I.1    Raidl, G.R.2
  • 36
    • 29044432227 scopus 로고    scopus 로고
    • An algorithmic framework for the exact solution of the prize-collecting Steiner tree problem
    • 10.1007/s10107-005-0660-x
    • I. Ljubić R. Weiskircher U. Pferschy G.W. Klau P. Mutzel M. Fischetti 2006 An algorithmic framework for the exact solution of the prize-collecting Steiner tree problem Math. Program. Series B 105 2-3 427 449 10.1007/s10107-005-0660-x
    • (2006) Math. Program. Series B , vol.105 , Issue.23 , pp. 427-449
    • Ljubić, I.1    Weiskircher, R.2    Pferschy, U.3    Klau, G.W.4    Mutzel, P.5    Fischetti, M.6
  • 37
    • 4544339487 scopus 로고    scopus 로고
    • Advanced fitness landscape analysis and the performance of memetic algorithms
    • DOI 10.1162/1063656041774956
    • P. Merz 2004 Advanced fitness landscape analysis and the performance of memetic algorithms Evol. Comput. 12 3 303 325 10.1162/1063656041774956 399709 (Pubitemid 39219650)
    • (2004) Evolutionary Computation , vol.12 , Issue.3 , pp. 303-325
    • Merz, P.1
  • 38
    • 14844344220 scopus 로고    scopus 로고
    • A tabu search algorithm for the quadratic assignment problem
    • DOI 10.1007/s10589-005-4562-x
    • A. Misevicius 2005 A tabu search algorithm for the quadratic assignment problem Comput. Optim. Appl. 30 1 95 111 10.1007/s10589-005-4562-x 2122184 (Pubitemid 40356735)
    • (2005) Computational Optimization and Applications , vol.30 , Issue.1 , pp. 95-111
    • Misevicius, A.1
  • 40
    • 70449365523 scopus 로고    scopus 로고
    • A single period inventory model of a deteriorating item sold from two shops with shortage via genetic algorithm
    • 10.2298/YJOR0701075M 2421010
    • S.K. Mondel J.K. Dey M. Maiti 2007 A single period inventory model of a deteriorating item sold from two shops with shortage via genetic algorithm Yugosl. J. Oper. Res. 17 1 75 94 10.2298/YJOR0701075M 2421010
    • (2007) Yugosl. J. Oper. Res. , vol.17 , Issue.1 , pp. 75-94
    • Mondel, S.K.1    Dey, J.K.2    Maiti, M.3
  • 41
    • 0038569043 scopus 로고    scopus 로고
    • Memetic algorithms
    • P.M. Pardalos M.G.C. Resende (eds). Oxford University Press Oxford
    • Moscato, P.: Memetic algorithms. In: Pardalos, P.M., Resende, M.G.C. (eds.) Handbook of Applied Optimization, pp. 157-167. Oxford University Press, Oxford (2002)
    • (2002) Handbook of Applied Optimization , pp. 157-167
    • Moscato, P.1
  • 42
    • 31344445501 scopus 로고    scopus 로고
    • The metric dimension of Cartesian products of graphs
    • 2212795
    • J. Peters-Fransen O. Oellermann 2006 The metric dimension of Cartesian products of graphs Util. Math. 69 33 41 2212795
    • (2006) Util. Math. , vol.69 , pp. 33-41
    • Peters-Fransen, J.1    Oellermann, O.2
  • 43
    • 33745769989 scopus 로고    scopus 로고
    • The core concept for the multidimensional knapsack problem
    • Springer, Berlin
    • Puchinger, J., Raidl, G.R., Pferschy, U.: The core concept for the multidimensional knapsack problem. In: Lecture Notes in Computer Science, vol. 3906, pp. 195-208. Springer, Berlin (2006)
    • (2006) Lecture Notes in Computer Science , vol.3906 , pp. 195-208
    • Puchinger, J.1    Raidl, G.R.2    Pferschy, U.3
  • 44
    • 33745478099 scopus 로고    scopus 로고
    • Empirical analysis of locality, heritability and heuristic bias in evolutionary algorithms: A case study for the multidimensional knapsack problem
    • DOI 10.1162/106365605774666886
    • G.R. Raidl J. Gottlieb 2005 Empirical analysis of locality, heritability and heuristic bias in evolutionary algorithms: a case study for the multidimensional knapsack problem Evol. Comput. 13 4 441 475 10.1162/106365605774666886 (Pubitemid 43955278)
    • (2005) Evolutionary Computation , vol.13 , Issue.4 , pp. 441-475
    • Raidl, G.R.1    Gottlieb, J.2
  • 45
    • 0029362478 scopus 로고
    • Probabilistic diversification and intensification in local search for vehicle routing
    • 10.1007/BF02430370
    • Y. Rochat E.D. Taillard 1995 Probabilistic diversification and intensification in local search for vehicle routing J. Heuristics 1 147 167 10.1007/BF02430370
    • (1995) J. Heuristics , vol.1 , pp. 147-167
    • Rochat, Y.1    Taillard, E.D.2
  • 46
    • 1342347566 scopus 로고    scopus 로고
    • Connected resolvability of graphs
    • DOI 10.1023/B:CMAJ.0000024524.43125.cd
    • V. Saenpholphat P. Zhang 2003 Connected resolvability of graphs Czechoslov. Math. J. 53 128 827 840 10.1023/B:CMAJ.0000024524.43125.cd 2018833 (Pubitemid 38254388)
    • (2003) Czechoslovak Mathematical Journal , vol.53 , Issue.4 , pp. 827-840
    • Saenpholphat, V.1    Zhang, P.2
  • 47
    • 11144294062 scopus 로고    scopus 로고
    • On connected resolving decompositions in graphs
    • DOI 10.1007/s10587-004-6417-5
    • V. Saenpholphat P. Zhang 2004 On connected resolving decompositions in graphs Czechoslov. Math. J. 54 129 681 696 10.1007/s10587-004-6417-5 2086725 (Pubitemid 40042152)
    • (2004) Czechoslovak Mathematical Journal , vol.54 , Issue.3 , pp. 681-696
    • Saenpholphat, V.1    Zhang, P.2
  • 49
    • 70449393692 scopus 로고    scopus 로고
    • Solving some discrete location problems by using genetic algorithms
    • Faculty of Mathematics, University of Belgrade (in Serbian)
    • Stanimirović, Z.: Solving some discrete location problems by using genetic algorithms. Master's thesis, Faculty of Mathematics, University of Belgrade (2004) (in Serbian)
    • (2004) Master's Thesis
    • Stanimirović, Z.1
  • 50
    • 62449282077 scopus 로고    scopus 로고
    • An efficient genetic algorithm for the uncapacitated multiple allocation p-hub median problem
    • (submitted)
    • Stanimirović, Z.: An efficient genetic algorithm for the uncapacitated multiple allocation p-hub median problem. Control Cybern. (submitted)
    • Control Cybern.
    • Stanimirović, Z.1
  • 51
    • 34248375600 scopus 로고    scopus 로고
    • Genetic algorithms for solving the discrete ordered median problem
    • DOI 10.1016/j.ejor.2006.09.069, PII S0377221706009842
    • Z. Stanimirović J. Kratica Dj. Dugošija 2007 Genetic algorithms for solving the discrete ordered median problem Eur. J. Oper. Res. 182 3 983 1001 10.1016/j.ejor.2006.09.069 (Pubitemid 46729623)
    • (2007) European Journal of Operational Research , vol.182 , Issue.3 , pp. 983-1001
    • Stanimirovic, Z.1    Kratica, J.2    Dugosija, D.3
  • 52
    • 33644931188 scopus 로고    scopus 로고
    • Many hard examples in exact phase transitions
    • 10.1016/j.tcs.2006.01.001 http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/ pb-benchmarks.htm
    • K. Xu W. Li 2006 Many hard examples in exact phase transitions Theor. Comp. Sci. 355 291 302 10.1016/j.tcs.2006.01.001 http://www.nlsde.buaa.edu.cn/ ~kexu/benchmarks/pb-benchmarks.htm
    • (2006) Theor. Comp. Sci. , vol.355 , pp. 291-302
    • Xu, K.1    Li, W.2


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