Mu-balancing M-way Search Trees
نویسندگان
چکیده
منابع مشابه
Optimal Search Trees with 2-Way Comparisons
We study the following problem: given a set of keys and access probabilities, find a minimum-cost binary search tree that uses only 2-way comparisons (=, <,≤) at each node. We give the first polynomialtime algorithm when both successful and unsuccessful queries are allowed, settling a long-standing open question. Our algorithm relies on a new structural theorem that proves a conjecture of Spule...
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We present an immediate approach in hoping to bridge the gap between the difficulties of learning ordinary binary search trees and their height-balanced variants in the typical data structures class. Instead of balancing the heights of the two children, we balance the number of their nodes. The concepts and programming techniques required for the node-balanced tree are much easier than the AVL ...
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This paper presents a newmethod to balance binary search trees, which has the following properties. (i) The only information stored for the balance is the size of every subtree. (ii) Inserting or deleting an element can be done in themost traditional way: first, the element is recursively inserted (deleted) in (from) the appropriate subtree; afterwards, a single or double rotation takes place i...
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A Source code 2 A.1 Tree . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 A.2 Searchers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 A.2.1 search tree.hpp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 A.2.2 selection search tree.hpp . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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A weight-balanced tree (WBT) is a binary search tree, whose balance is based on the sizes of the subtrees in each node. Although purely functional implementations on a variant WBT algorithm are widely used in functional programming languages, many existing implementations do not maintain balance after deletion in some cases. The difficulty lies in choosing a valid pair of rotation parameters: o...
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1991
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/34.5.406