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Volumn 69, Issue 6 2, 2004, Pages

Extremal optimization at the phase transition of the three-coloring problem

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COLORING; COMPUTATIONAL COMPLEXITY; ERROR ANALYSIS; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; STATISTICAL METHODS;

EID: 36249012990     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.066703     Document Type: Article
Times cited : (80)

References (37)
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    • P. Cheeseman, B. Kanefsky, and W. M. Taylor, in Proceedings of IJCAI-91, edited J. Mylopoulos and R. Rediter (Morgan Kaufmann, San Mateo, CA, 1991), pp. 331-337.
    • (1991) Proceedings of IJCAI-91 , pp. 331-337
    • Cheeseman, P.1    Kanefsky, B.2    Taylor, W.M.3
  • 8
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    • S. Cocco and R. Monasson, Phys. Rev. Lett. 86, 1654 (2001); Eur. Phys. J. B 22, 505 (2001).
    • (2001) Eur. Phys. J. B , vol.22 , pp. 505
  • 14
    • 0033431975 scopus 로고    scopus 로고
    • R. Monasson, R. Zecchina, S. Kirkpatrick, B. Selman, and L. Troyansky, Nature (London) 400, 133 (1999); Random Struct. Algorithms 15, 414 (1999).
    • (1999) Random Struct. Algorithms , vol.15 , pp. 414
  • 16
    • 33645057949 scopus 로고    scopus 로고
    • note
    • Our discussion of average vs worst-case complexity here focuses exclusively on the notion of computational complexity [13]. This is distinct from an entropic definition of complexity recently proposed in statistical physics [2,9], which is a measure of the clustering behavior of near-optimal local minima in a local search.
  • 20
    • 0042492825 scopus 로고
    • F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982); R. Kotecky, Phys. Rev. B 31, 3088 (1985); P. Svenson and M. G. Nordahl, Phys. Rev. E 59, 3983 (1999).
    • (1982) Rev. Mod. Phys. , vol.54 , pp. 235
    • Wu, F.Y.1
  • 21
    • 4043129743 scopus 로고
    • F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982); R. Kotecky, Phys. Rev. B 31, 3088 (1985); P. Svenson and M. G. Nordahl, Phys. Rev. E 59, 3983 (1999).
    • (1985) Phys. Rev. B , vol.31 , pp. 3088
    • Kotecky, R.1
  • 22
    • 0000757560 scopus 로고    scopus 로고
    • F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982); R. Kotecky, Phys. Rev. B 31, 3088 (1985); P. Svenson and M. G. Nordahl, Phys. Rev. E 59, 3983 (1999).
    • (1999) Phys. Rev. E , vol.59 , pp. 3983
    • Svenson, P.1    Nordahl, M.G.2
  • 32
  • 36
    • 0345044823 scopus 로고
    • A column generation approach to graph coloring
    • Graduate "School of Industrial Administration, Carnige Mellon University," Graph coloring code
    • A. Mehotra and M. A. Trick, "A column generation approach to graph coloring," Technical Report Series, Graduate "School of Industrial Administration, Carnige Mellon University," 1995. Graph coloring code available at http://mat.gsia.cmu.edu/COLOR/solvers/trick.c.
    • (1995) Technical Report Series
    • Mehotra, A.1    Trick, M.A.2
  • 37
    • 33645075475 scopus 로고    scopus 로고
    • note
    • c that we have studied here is too small to be conclusive on this question.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.