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Volumn 6, Issue 2, 1996, Pages 495-527

The central limit theorem for weighted minimal spanning trees on random points

Author keywords

Central limit theorem; Minimal spanning tree

Indexed keywords


EID: 0030501338     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1034968141     Document Type: Article
Times cited : (90)

References (13)
  • 1
    • 0001455013 scopus 로고
    • Asymptotics for Euclidean minimal spanning trees on random points
    • ALDOUS, D. and STEELE, J. M. (1992). Asymptotics for Euclidean minimal spanning trees on random points. Probab. Theory Related Fields 92 247-258.
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 247-258
    • Aldous, D.1    Steele, J.M.2
  • 2
    • 0043047050 scopus 로고
    • Rates of convergence of means for distance-minimizing subadditive Euclidean functionals
    • ALEXANDER, K. S. (1994). Rates of convergence of means for distance-minimizing subadditive Euclidean functionals. Ann. Appl. Probab. 4 902-922.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 902-922
    • Alexander, K.S.1
  • 3
    • 0030523782 scopus 로고    scopus 로고
    • The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees
    • ALEXANDER, K. S. (1996). The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees. Ann. Appl. Probab. 6 466-494.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 466-494
    • Alexander, K.S.1
  • 4
    • 0000380180 scopus 로고
    • On central limit theorems in geometric probability
    • AVRAM, F. and BERTSIMAS, D. (1993). On central limit theorems in geometric probability. Ann. Appl. Probab. 3 1033-1046.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 1033-1046
    • Avram, F.1    Bertsimas, D.2
  • 7
    • 70350674995 scopus 로고
    • On the shortest spanning subtree of a graph and the traveling salesman problem
    • KRUSKAL, J. B. (1956). On the shortest spanning subtree of a graph and the traveling salesman problem. Proc. Amer. Math. Soc. 7 48-50.
    • (1956) Proc. Amer. Math. Soc. , vol.7 , pp. 48-50
    • Kruskal, J.B.1
  • 9
    • 0000964674 scopus 로고
    • Dependent central limit theorems and invariance principles
    • MCLEISH, D. L. (1974). Dependent central limit theorems and invariance principles. Ann. Probab. 2 620-628.
    • (1974) Ann. Probab. , vol.2 , pp. 620-628
    • Mcleish, D.L.1
  • 11
    • 0001313265 scopus 로고
    • Limit theorems and rates of convergence for Euclidean functionals
    • REDMOND, C. and YUKICH, J. E. (1994). Limit theorems and rates of convergence for Euclidean functionals. Ann. Appl. Probab. 4 1057-1073.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 1057-1073
    • Redmond, C.1    Yukich, J.E.2
  • 12
    • 0000729159 scopus 로고
    • Growth rates of Euclidean minimal spanning trees with power weighted edges
    • STEELE, J. M. (1988). Growth rates of Euclidean minimal spanning trees with power weighted edges. Ann. Probab. 16 1767-1787.
    • (1988) Ann. Probab. , vol.16 , pp. 1767-1787
    • Steele, J.M.1
  • 13
    • 51249165477 scopus 로고
    • Concentration of measure and isoperimetric inequalities in product spaces
    • Inst. des Mautes Etudes Scientifiques
    • TALAGRAND, M. (1995). Concentration of measure and isoperimetric inequalities in product spaces. Publ. Math. vol. 81, Inst. des Mautes Etudes Scientifiques.
    • (1995) Publ. Math. , vol.81
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.