Digital search trees revisited
SIAM Journal on Computing
Some results on V-ary asymmetric tries
Journal of Algorithms
How many random questions are necessary to identify n distinct objects?
Journal of Combinatorial Theory Series A
Patricia tries again revisited
Journal of the ACM (JACM)
The art of computer programming, volume 3: (2nd ed.) sorting and searching
The art of computer programming, volume 3: (2nd ed.) sorting and searching
PATRICIA—Practical Algorithm To Retrieve Information Coded in Alphanumeric
Journal of the ACM (JACM)
Expected Length of the Longest Probe Sequence in Hash Code Searching
Journal of the ACM (JACM)
A sharp concentration inequality with application
Random Structures & Algorithms
Communications of the ACM
Proceedings of the Fourth International Conference on Data Engineering
Digital Data Structures and Order Statistics
WADS '89 Proceedings of the Workshop on Algorithms and Data Structures
A Branching Process Arising in Dynamic Hashing, Trie Searching and Polynomial Factorization
Proceedings of the 9th Colloquium on Automata, Languages and Programming
Some Further Results on Digital Search Trees
ICALP '86 Proceedings of the 13th International Colloquium on Automata, Languages and Programming
Heights in Generalized Tries and PATRICIA Tries
LATIN '00 Proceedings of the 4th Latin American Symposium on Theoretical Informatics
Trie Partitioning Process: Limiting Distributions
CAAP '86 Proceedings of the 11th Colloquium on Trees in Algebra and Programming
Concentration of Size and Path Length of Tries
Combinatorics, Probability and Computing
Concentration for self-bounding functions and an inequality of Talagrand
Random Structures & Algorithms
Multiple choice tries and distributed hash tables
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
An analysis of the height of tries with random weights on the edges
Combinatorics, Probability and Computing
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
The degree profile of random Pólya trees
Journal of Combinatorial Theory Series A
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We consider random tries and random PATRICIA trees constructed from n independent strings of symbols drawn from any distribution on any discrete space. If Hn, is the height of this tree, we show that Hn/E{Hn} tends to one in probability. Additional tail inequalities are given for the height, depth, size, internal path length, and profile of these trees and ordinary tries that apply without any conditions on the string distributions---they need not even be identically distributed.