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Volumn 11, Issue 1, 2007, Pages 91-100

The Dandelion code: A new coding of spanning trees for genetic algorithms

Author keywords

Blob code; Dandelion code; Encoding; Genetic algorithms (GAs); One max tree problem; Optimal communication spanning tree (OCST) problem; Pr fer code; Pr fer string; Representation; Spanning trees

Indexed keywords

ENCODING (SYMBOLS); MAPPING; TREES (MATHEMATICS);

EID: 33947240405     PISSN: 1089778X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEVC.2006.880730     Document Type: Article
Times cited : (39)

References (30)
  • 1
    • 33947209070 scopus 로고    scopus 로고
    • Network random keys - A tree network representation scheme for genetic and evolutionary algorithms
    • Univ. Illinois at Urbana-Champaign, Urbana, IL, IlliGAL 2000031, Jul. Online. Available:
    • F. Rothlauf, D. E. Goldberg, and A. Heinzl, Network random keys - A tree network representation scheme for genetic and evolutionary algorithms Univ. Illinois at Urbana-Champaign, Urbana, IL, IlliGAL 2000031, Jul. 2000. Online. Available: http://www-illigal.ge.uiuc.edu/
    • (2000)
    • Rothlauf, F.1    Goldberg, D.E.2    Heinzl, A.3
  • 2
    • 0038479945 scopus 로고    scopus 로고
    • "Edge-sets: An effective evolutionary coding of spanning trees"
    • Jun
    • G. R. Raidl and B. A. Julstrom, "Edge-sets: An effective evolutionary coding of spanning trees," IEEE Trans. Evol. Comput., vol. 7, no. 3, pp. 225-239, Jun. 2003.
    • (2003) IEEE Trans. Evol. Comput. , vol.7 , Issue.3 , pp. 225-239
    • Raidl, G.R.1    Julstrom, B.A.2
  • 3
    • 33845513003 scopus 로고
    • "A theorem on trees"
    • A. Cayley, "A theorem on trees," Quart. J. Math., vol. 23, pp. 376-378, 1889.
    • (1889) Quart. J. Math. , vol.23 , pp. 376-378
    • Cayley, A.1
  • 4
    • 33845623782 scopus 로고
    • "Neuer beweis eines satzes über permutationen"
    • H. Prüfer, "Neuer beweis eines satzes über permutationen," Arch. Math. Phys., vol. 27, pp. 742-744, 1918.
    • (1918) Arch. Math. Phys. , vol.27 , pp. 742-744
    • Prüfer, H.1
  • 5
    • 0005402987 scopus 로고
    • "A genetic algorithm for the rectilinear Steiner problem"
    • in S. Forrest, Ed
    • B. A. Julstrom, "A genetic algorithm for the rectilinear Steiner problem," in Proc. 5th Int. Conf. Genetic Algorithms, S. Forrest, Ed., 1993, pp. 474-479.
    • (1993) Proc. 5th Int. Conf. Genetic Algorithms , pp. 474-479
    • Julstrom, B.A.1
  • 6
    • 0002617796 scopus 로고
    • "Determinant factorization: A new encoding scheme for spanning trees applied to the probabilistic minimum spanning tree problem"
    • in L. Eshelman, Ed
    • F. N. Abuali, R. L. Wainwright, and D. A. Schoenefeld, "Determinant factorization: A new encoding scheme for spanning trees applied to the probabilistic minimum spanning tree problem," in Proc. 6th Int. Conf. Genetic Algorithms, L. Eshelman, Ed., 1995, pp. 470-477.
    • (1995) Proc. 6th Int. Conf. Genetic Algorithms , pp. 470-477
    • Abuali, F.N.1    Wainwright, R.L.2    Schoenefeld, D.A.3
  • 7
    • 0039054277 scopus 로고    scopus 로고
    • "A note on genetic algorithms for degree-constrained spanning tree problems"
    • G. Zhou and M. Gen, "A note on genetic algorithms for degree-constrained spanning tree problems," Networks, vol. 30, pp. 91-95, 1997.
    • (1997) Networks , vol.30 , pp. 91-95
    • Zhou, G.1    Gen, M.2
  • 8
    • 33947196946 scopus 로고    scopus 로고
    • Comparison of algorithms for the degree-constrained minimum spanning tree CSIRO
    • Monash Univ., Clayton, Australia, Tech. Rep
    • M. Krishnamoorthy, A. T. Ernst, and Y. M. Sharaihi, Comparison of algorithms for the degree-constrained minimum spanning tree CSIRO Math. Inf. Sci., Monash Univ., Clayton, Australia, Tech. Rep., 1999.
    • (1999) Math. Inf. Sci.
    • Krishnamoorthy, M.1    Ernst, A.T.2    Sharaihi, Y.M.3
  • 9
    • 21844519329 scopus 로고
    • "An approach to a problem in network design using genetic algorithms"
    • C. C. Palmer and A. Kershenbaum, "An approach to a problem in network design using genetic algorithms," Networks, vol. 26, pp. 151-163, 1995.
    • (1995) Networks , vol.26 , pp. 151-163
    • Palmer, C.C.1    Kershenbaum, A.2
  • 10
    • 0141470716 scopus 로고    scopus 로고
    • "Towards a theory of representations for genetic and evolutionary algorithms"
    • Ph.D. dissertation, Dept. Inf. Syst., University of Bayreuth, Bayreuth, Germany
    • F. Rothlauf, "Towards a theory of representations for genetic and evolutionary algorithms," Ph.D. dissertation, Dept. Inf. Syst., University of Bayreuth, Bayreuth, Germany, 2001.
    • (2001)
    • Rothlauf, F.1
  • 11
  • 12
    • 0037517202 scopus 로고    scopus 로고
    • "The Blob code: A better string coding of spanning trees for evolutionary search"
    • B. A. Julstrom, "The Blob code: A better string coding of spanning trees for evolutionary search," in Proc. Genetic and Evol. Comput. Conf. Workshop Program, 2001, pp. 256-261.
    • (2001) Proc. Genetic and Evol. Comput. Conf. Workshop Program , pp. 256-261
    • Julstrom, B.A.1
  • 13
    • 0005261636 scopus 로고    scopus 로고
    • "How to encode a tree"
    • Ph.D. dissertation, Dept. Mathematics, Univ. California, San Diego, CA
    • S. Picciotto, "How to encode a tree," Ph.D. dissertation, Dept. Mathematics, Univ. California, San Diego, CA, 1999.
    • (1999)
    • Picciotto, S.1
  • 14
    • 33645579529 scopus 로고    scopus 로고
    • "From the Dandelion Code to the Rainbow Code: A class of bijective spanning tree representations with linear complexity and bounded locality"
    • Apr
    • T. Paulden and D. K. Smith, "From the Dandelion Code to the Rainbow Code: A class of bijective spanning tree representations with linear complexity and bounded locality," IEEE Trans. Evol. Comput., vol. 10, no. 2, pp. 108-123, Apr. 2006.
    • (2006) IEEE Trans. Evol. Comput. , vol.10 , Issue.2 , pp. 108-123
    • Paulden, T.1    Smith, D.K.2
  • 15
    • 27144470359 scopus 로고    scopus 로고
    • "Prüfer-like codes for labeled trees"
    • in [Online]. Available:
    • N. Deo and P. Micikevicius, "Prüfer-like codes for labeled trees," in Proc. Congressus Numerantium, 2001, vol. 151, pp. 65-73. [Online]. Available: http://www.cs.ucf.edu/pmicikev/publications/ prufer-likecodes.pdf
    • (2001) Proc. Congressus Numerantium , vol.151 , pp. 65-73
    • Deo, N.1    Micikevicius, P.2
  • 16
    • 33645580596 scopus 로고    scopus 로고
    • "The application of evolutionary algorithms to spanning tree problems"
    • Ph.D. dissertation, School Math. Sci., Univ. Exeter, Exeter, U.K
    • E. Thompson, "The application of evolutionary algorithms to spanning tree problems," Ph.D. dissertation, School Math. Sci., Univ. Exeter, Exeter, U.K., 2003.
    • (2003)
    • Thompson, E.1
  • 18
    • 34547363023 scopus 로고    scopus 로고
    • "Recent advances in the study of the dandelion code, happy code, and blob code spanning tree representations"
    • in to appear
    • T. Paulden and D. K. Smith, "Recent advances in the study of the dandelion code, happy code, and blob code spanning tree representations," in Proc. IEEE World Congr. Comput. Intell., 2006, to appear.
    • (2006) Proc. IEEE World Congr. Comput. Intell.
    • Paulden, T.1    Smith, D.K.2
  • 19
    • 70350674995 scopus 로고
    • "On the shortest spanning subtree of a graph and the travelling salesman problem"
    • J. B. Kruskal, "On the shortest spanning subtree of a graph and the travelling salesman problem," in Proc. Amer. Math. Soc., 1956, vol. 7, pp. 48-50.
    • (1956) Proc. Amer. Math. Soc. , vol.7 , pp. 48-50
    • Kruskal, J.B.1
  • 20
    • 0033671532 scopus 로고    scopus 로고
    • "An efficient evolutionary algorithm for the degree-constrained minimum spanning tree problem"
    • G. R. Raidl, "An efficient evolutionary algorithm for the degree-constrained minimum spanning tree problem," in Proc. IEEE Conf. Evol. Comput., 2000, pp. 379-384.
    • (2000) Proc. IEEE Conf. Evol. Comput. , pp. 379-384
    • Raidl, G.R.1
  • 21
    • 84911584312 scopus 로고
    • "Shortest connection networks and some generalisations"
    • R. C. Prim, "Shortest connection networks and some generalisations," Bell Syst. Tech. J., vol. 36, pp. 1389-1401, 1957.
    • (1957) Bell Syst. Tech. J. , vol.36 , pp. 1389-1401
    • Prim, R.C.1
  • 24
    • 0000602164 scopus 로고
    • "Optimum communication spanning trees"
    • T. C. Hu, "Optimum communication spanning trees," SIAM J. Comput., vol. 3, no. 3, pp. 188-195, 1974.
    • (1974) SIAM J. Comput. , vol.3 , Issue.3 , pp. 188-195
    • Hu, T.C.1
  • 25
    • 84986976912 scopus 로고
    • "The complexity of the network design problem"
    • D. S. Johnson, J. K. Lenstra, and A. H. G. R. Kan, "The complexity of the network design problem," Networks, vol. 8, pp. 279-285, 1978.
    • (1978) Networks , vol.8 , pp. 279-285
    • Johnson, D.S.1    Lenstra, J.K.2    Kan, A.H.G.R.3
  • 26
    • 0023396491 scopus 로고
    • "Exact and heuristic algorithms for the optimum communication spanning tree problem"
    • R. K. Ahuja and V. V. S. Murty, "Exact and heuristic algorithms for the optimum communication spanning tree problem," Transportation Sci., vol. 21, pp. 163-170, 1987.
    • (1987) Transportation Sci. , vol.21 , pp. 163-170
    • Ahuja, R.K.1    Murty, V.V.S.2
  • 27
    • 0345079631 scopus 로고
    • "An approach to a problem in network design using genetic algorithms"
    • Ph.D. dissertation, Dept. Comput. Sci., Polytechnic Univ., New York, [Online]. Available:
    • C. C. Palmer, "An approach to a problem in network design using genetic algorithms," Ph.D. dissertation, Dept. Comput. Sci., Polytechnic Univ., New York, 1994. [Online]. Available: http://citeseer.nj.nec.com/palmer95approach.html
    • (1994)
    • Palmer, C.C.1
  • 30
    • 0002460716 scopus 로고
    • "Epistasis variance: A viewpoint on GA-hardness"
    • Y. Davidor, "Epistasis variance: A viewpoint on GA-hardness," Foundations of Genetic Algorithms 1, pp. 23-35, 1991.
    • (1991) Foundations of Genetic Algorithms , vol.1 , pp. 23-35
    • Davidor, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.