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Volumn 61, Issue 2, 1996, Pages 289-304

Asymptotics for Euclidean functionals with power-weighted edges

Author keywords

Boundary processes; Combinatorial optimization; Euclidean functional; Minimal matching; Minimal spanning tree; Rates of convergence; Traveling salesman problem

Indexed keywords


EID: 0030077266     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4149(95)00075-5     Document Type: Article
Times cited : (52)

References (12)
  • 2
    • 0011458765 scopus 로고
    • Probabilistic analysis of the Held and Karp lower bound for the Euclidean traveling salesman problem
    • M.X. Goemans and D. Bertsimas, Probabilistic analysis of the Held and Karp lower bound for the Euclidean traveling salesman problem, Math. Oper. Res. 16 (1991) 72-89.
    • (1991) Math. Oper. Res. , vol.16 , pp. 72-89
    • Goemans, M.X.1    Bertsimas, D.2
  • 3
    • 0011504568 scopus 로고
    • Rate of convergence for the Euclidean minimum spanning tree limit law
    • P. Jaillet, Rate of convergence for the Euclidean minimum spanning tree limit law, Oper. Res. Lett. 14 (1993) 73-78.
    • (1993) Oper. Res. Lett. , vol.14 , pp. 73-78
    • Jaillet, P.1
  • 4
    • 0001313265 scopus 로고
    • Limit theorems and rates of convergence for Euclidean functionals
    • C. Redmond and J.E. Yukich, Limit theorems and rates of convergence for Euclidean functionals, Ann. Appl. Probab. 4 (1994) 1057-1073.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 1057-1073
    • Redmond, C.1    Yukich, J.E.2
  • 5
    • 0001213874 scopus 로고
    • A matching problem and subadditive Euclidean functional
    • W.S. Rhee, A matching problem and subadditive Euclidean functional, Ann. Appl. Probab. 3 (1993) 794-801.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 794-801
    • Rhee, W.S.1
  • 6
    • 0001838523 scopus 로고
    • Subadditive Euclidean functionals and non-linear growth in geometric probability
    • J.M. Steele, Subadditive Euclidean functionals and non-linear growth in geometric probability, Ann. Probab. 9 (1981) 365-376.
    • (1981) Ann. Probab. , vol.9 , pp. 365-376
    • Steele, J.M.1
  • 7
    • 0000729159 scopus 로고
    • Growth rates of Euclidean minimal spanning trees with power-weighted edges
    • J.M. Steele, Growth rates of Euclidean minimal spanning trees with power-weighted edges, Ann. Probab. 16 (1988) 1767-1787.
    • (1988) Ann. Probab. , vol.16 , pp. 1767-1787
    • Steele, J.M.1
  • 8
    • 0011414323 scopus 로고
    • Seedlings in the theory of shortest paths
    • G. Grimmett and D. Welsh, eds., Cambridge University Press, London
    • J.M. Steele, Seedlings in the theory of shortest paths, in: G. Grimmett and D. Welsh, eds., Disorder in Physical Systems: A volume in Honor of J.M. Hammersley (Cambridge University Press, London, 1990) pp. 277-306.
    • (1990) Disorder in Physical Systems: A Volume in Honor of J.M. Hammersley , pp. 277-306
    • Steele, J.M.1
  • 9
    • 0026679626 scopus 로고
    • Euclidean semi-matchings of random samples
    • J.M. Steele, Euclidean semi-matchings of random samples, Math. Programming 53 (1992) 127-146.
    • (1992) Math. Programming , vol.53 , pp. 127-146
    • Steele, J.M.1
  • 10
    • 0002681519 scopus 로고
    • Quasi-additive Euclidean functionals
    • D. Aldous, P. Diaconis, J. Spencer and J.M. Spencer and J.M. Steele, eds., Springer, Berlin
    • J.E. Yukich, Quasi-additive Euclidean functionals, in: D. Aldous, P. Diaconis, J. Spencer and J.M. Spencer and J.M. Steele, eds., Discrete Probability and Algorithms (Springer, Berlin, 1995a) pp. 149-158.
    • (1995) Discrete Probability and Algorithms , pp. 149-158
    • Yukich, J.E.1
  • 11
    • 21844508027 scopus 로고
    • Asymptotics for the stochastic TSP with power-weighted edges
    • J.E. Yukich, Asymptotics for the stochastic TSP with power-weighted edges, Probab. Theory Related Fields 102 (1995b) 203-220.
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 203-220
    • Yukich, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.