The Oscillatory Distribution of Distances in Random Tries

  title={The Oscillatory Distribution of Distances in Random Tries},
  author={Costas A. Christophi and Hosam M. Mahmoud},
We investigate ∆n, the distance between randomly selected pairs of nodes among n keys in a random trie, which is a kind of digital tree. Analytical techniques, such as the Mellin transform and an excursion between poissonization and depoissonization, capture small fluctuations in the mean and variance of these random distances. The mean increases logarithmically in the number of keys, but curiously enough the variance remains O(1), as n → ∞. It is demonstrated that the centered random variable… CONTINUE READING
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