Simple Balanced Binary Search Trees

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Simple Balanced Binary Search Trees

Efficient implementations of sets and maps (dictionaries) are important in computer science, and balanced binary search trees are the basis of the best practical implementations. Pedagogically, however, they are often quite complicated, especially with respect to deletion. I present complete code (with justification and analysis not previously available in the literature) for a purely-functiona...

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Balanced Binary Search Trees

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Balanced Search Trees Made Simple

As a contribution to the recent debate on simple implementa tions of dictionaries we present new maintenance algorithms for balanced trees In terms of code simplicity our algorithms compare favourably with those for deterministic and probabilistic skip lists

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On Digital Search Trees - A Simple Method for Constructing Balanced Binary Trees

This paper presents digital search trees, a binary tree data structure that can produce well-balanced trees in the majority of cases. Digital search tree algorithms are reviewed, and a novel algorithm for building sorted trees is introduced. It was found that digital search trees are simple to implement because their code is similar to the code for ordinary binary search trees. Experimental eva...

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A New Class of Balanced Search Trees: Half Balanced Binary Search Trees

— A newclassojbalancedbinary search trees is introduced: thehalf-balancedbinary trees. When used as a node search tree, a hal]-balanced binary tree containing n keys has a height at most 2 lg(n + 2) —2. Algorithms are given for IN SERT and DELETE instructions, having time complexity O(lg n). A remarkable resuit is that at most one local restructuring must be performed during the (leletion or th...

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ژورنال

عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science

سال: 2014

ISSN: 2075-2180

DOI: 10.4204/eptcs.170.6