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Gaussian tail for empirical distributions of MST on random graphs


  • Lee, Sungchul
  • Su, Zhonggen


Consider the complete graph Kn on n vertices and the n-cube graph Qn on 2n vertices. Suppose independent uniform random edge weights are assigned to each edges in Kn and Qn and let and denote the unique minimal spanning trees on Kn and Qn, respectively. In this paper we obtain the Gaussian tail for the number of edges of and with weight at most t/n.

Suggested Citation

  • Lee, Sungchul & Su, Zhonggen, 2002. "Gaussian tail for empirical distributions of MST on random graphs," Statistics & Probability Letters, Elsevier, vol. 58(4), pages 363-368, July.
  • Handle: RePEc:eee:stapro:v:58:y:2002:i:4:p:363-368

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    References listed on IDEAS

    1. Boente, Graciela & Fraiman, Ricardo, 1989. "Robust nonparametric regression estimation," Journal of Multivariate Analysis, Elsevier, vol. 29(2), pages 180-198, May.
    2. Györfi, László & Walk, Harro, 1997. "On the strong universal consistency of a recursive regression estimate by Pál Révész," Statistics & Probability Letters, Elsevier, vol. 31(3), pages 177-183, January.
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