The oscillatory distribution of distances in random tries
نویسندگان
چکیده
منابع مشابه
The Oscillatory Distribution of Distances in Random Tries
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 curio...
متن کاملLimit Distribution of Distances in Biased Random Tries
The trie is a sort of digital tree. Ideally, to achieve balance, the trie should grow from an unbiased source generating keys of bits with equal likelihoods. In practice, the lack of bias is not always guaranteed. We investigate the distance between randomly selected pairs of nodes among the keys in a biased trie. This research complements that of Christophi and Mahmoud (2005); however, the res...
متن کاملAnalysis of random LC tries
LC tries were introduced by Andersson and Nilsson in 1993. They are compacted versions of tries or patricia tries in which, from the top down, maximal height complete subtrees are level compressed. Andersson and Nilsson (1993) showed that for i.i.d. uniformly distributed input strings, the expected depth of the LC patricia trie is (log n). In this paper, we reene and extend this result. We anal...
متن کاملStudy of Random Biased d-ary Tries Model
Tries are the most popular data structure on strings. We can construct d-ary tries by using strings over an alphabet leading to d-ary tries. Throughout the paper we assume that strings stored in trie are generated by an appropriate memory less source. In this paper, with a special combinatorial approach we extend their analysis for average profiles to d-ary tries. We use this combinatorial appr...
متن کاملDistribution of Distances in Random Binary Search Trees by Hosam
We investigate random distances in a random binary search tree. Two types of random distance are considered: the depth of a node randomly selected from the tree, and distance between randomly selected pairs of nodes. By a combination of classical methods and modern contraction techniques we arrive at a Gaussian limit law for normed random distances between pairs. The exact forms of the mean and...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2005
ISSN: 1050-5164
DOI: 10.1214/105051605000000106