메뉴 건너뛰기




Volumn 7, Issue 4, 1997, Pages 996-1020

The central limit theorem for Euclidean minimal spanning trees I

Author keywords

Central limit theorem; Continuum percolation; Minimal spanning tree

Indexed keywords


EID: 0031260688     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (54)

References (28)
  • 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
    • 21844510142 scopus 로고
    • Simultaneous uniqueness of infinite clusters in stationary random labeled graphs
    • ALEXANDER, K. S. (1995). Simultaneous uniqueness of infinite clusters in stationary random labeled graphs. Comm. Math. Phys. 168 39-55.
    • (1995) Comm. Math. Phys. , vol.168 , pp. 39-55
    • 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
    • 0017931947 scopus 로고
    • Fast algorithms for constructing minimal spanning trees in coordinate spaces
    • BENTLEY, J. L. and FRIEDMAN, J. H. (1978). Fast algorithms for constructing minimal spanning trees in coordinate spaces. IEEE Comput. 27 97-105.
    • (1978) IEEE Comput. , vol.27 , pp. 97-105
    • Bentley, J.L.1    Friedman, J.H.2
  • 5
    • 0017491328 scopus 로고
    • Storage reduction through minimal spanning trees and spanning forests
    • CHANG, C. L., CHANG, S. K., KANG, A. N. C. and LEE, R. C. T. (1977). Storage reduction through minimal spanning trees and spanning forests. IEEE Comput. 26 425-434.
    • (1977) IEEE Comput. , vol.26 , pp. 425-434
    • Chang, C.L.1    Chang, S.K.2    Kang, A.N.C.3    Lee, R.C.T.4
  • 6
    • 0010660720 scopus 로고
    • Algorithms for updating minimal spanning trees
    • CHIN, F. Y. and HOUCK, D. J. (1978). Algorithms for updating minimal spanning trees. J. Comput. System Sci. 16 333-344.
    • (1978) J. Comput. System Sci. , vol.16 , pp. 333-344
    • Chin, F.Y.1    Houck, D.J.2
  • 8
    • 0000907076 scopus 로고
    • On the number of leaves of a Euclidean minimal spanning tree
    • EDDY, W. F., SHEPP, L. A. and STEELE, J. M. (1987). On the number of leaves of a Euclidean minimal spanning tree. J. Appl. Probab. 24 809-826.
    • (1987) J. Appl. Probab. , vol.24 , pp. 809-826
    • Eddy, W.F.1    Shepp, L.A.2    Steele, J.M.3
  • 9
    • 0000673504 scopus 로고
    • Multivariate generalizations of the Wolfowitz and Smirnov two-sample tests
    • FRIEDMAN, J. H. and RAFSKY, L. C. (1979). Multivariate generalizations of the Wolfowitz and Smirnov two-sample tests. Ann. Statist. 7 697-717.
    • (1979) Ann. Statist. , vol.7 , pp. 697-717
    • Friedman, J.H.1    Rafsky, L.C.2
  • 10
    • 0000930629 scopus 로고
    • Graph-theoretic measures of multivariate association and prediction
    • FRIEDMAN, J. H. and RAFSKY, L. C. (1983). Graph-theoretic measures of multivariate association and prediction. Ann. Statist. 11 377-391.
    • (1983) Ann. Statist. , vol.11 , pp. 377-391
    • Friedman, J.H.1    Rafsky, L.C.2
  • 12
    • 0016378327 scopus 로고
    • Determination of minimal paths and spanning trees in graphs
    • JUNG, H. A. (1974). Determination of minimal paths and spanning trees in graphs. Computing 13 249.
    • (1974) Computing , vol.13 , pp. 249
    • Jung, H.A.1
  • 13
    • 0020995056 scopus 로고
    • On the worst case of a minimal spanning tree algorithm for Euclidean space
    • KATAJAINEN, J. (1983). On the worst case of a minimal spanning tree algorithm for Euclidean space. BIT 23 2-8.
    • (1983) BIT , vol.23 , pp. 2-8
    • Katajainen, J.1
  • 14
    • 0030501338 scopus 로고    scopus 로고
    • The central limit theorem for weighted minimal spanning trees on random point
    • KESTEN, H. and LEE, S. (1996). The central limit theorem for weighted minimal spanning trees on random point. Ann. Appl. Probab. 6 495-527.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 495-527
    • Kesten, H.1    Lee, S.2
  • 15
    • 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
  • 17
    • 0001664648 scopus 로고
    • Number of spanning trees in a molecular graph
    • MALLION, R. B. (1975). Number of spanning trees in a molecular graph. Chem. Phys. Lett. 36 170-174.
    • (1975) Chem. Phys. Lett. , vol.36 , pp. 170-174
    • Mallion, R.B.1
  • 18
    • 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
  • 19
    • 0018830917 scopus 로고
    • Techniques for the verification of minimal phylogenetic trees illustrated with 10 mammalian hemoglobin sequences
    • PENNY, D. (1980). Techniques for the verification of minimal phylogenetic trees illustrated with 10 mammalian hemoglobin sequences. Biochem. J. 187 65-74.
    • (1980) Biochem. J. , vol.187 , pp. 65-74
    • Penny, D.1
  • 20
    • 0010713527 scopus 로고    scopus 로고
    • The random minimal spanning tree in high dimensions
    • PENROSE, M. D. (1996). The random minimal spanning tree in high dimensions. Ann. Probab. 6 528-544.
    • (1996) Ann. Probab. , vol.6 , pp. 528-544
    • Penrose, M.D.1
  • 21
    • 0001313265 scopus 로고
    • Limit theorems and rates of convergence for Euclidean functional
    • REDMOND, C. and YUKICH, J. E. (1994). Limit theorems and rates of convergence for Euclidean functional. Ann. Appl. Probab. 4 1057-1073.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 1057-1073
    • Redmond, C.1    Yukich, J.E.2
  • 22
    • 0010712530 scopus 로고
    • A sharp deviation inequality for the stochastic traveling salesman problem
    • RHEE, W. T. and TALAGRAND, M. (1989). A sharp deviation inequality for the stochastic traveling salesman problem. Ann. Probab. 17 1-8.
    • (1989) Ann. Probab. , vol.17 , pp. 1-8
    • Rhee, W.T.1    Talagrand, M.2
  • 23
    • 0016699095 scopus 로고
    • Generalization of the gap test for the detection of multivariate outliers
    • ROHLF, F. J. (1975). Generalization of the gap test for the detection of multivariate outliers. Biometrics 31 93-101.
    • (1975) Biometrics , vol.31 , pp. 93-101
    • Rohlf, F.J.1
  • 24
    • 0010709084 scopus 로고
    • Possible use of minimum spanning tree in phytoecology
    • ROMANE, F. (1977). Possible use of minimum spanning tree in phytoecology. Vegetation 33 99-106.
    • (1977) Vegetation , vol.33 , pp. 99-106
    • Romane, F.1
  • 26
    • 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
  • 27
    • 84976710540 scopus 로고
    • Minimal spanning tree
    • WHITNEY, V. K. M. (1972). Minimal spanning tree. Comm. ACM 15 273.
    • (1972) Comm. ACM , vol.15 , pp. 273
    • Whitney, V.K.M.1
  • 28
    • 0000033790 scopus 로고
    • Number of spanning trees on a lattice
    • WU, F. Y. (1977). Number of spanning trees on a lattice. J. Phys. A 10 L113-L115.
    • (1977) J. Phys. A , vol.10
    • Wu, F.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.