Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 26.9, Problem 26.9.1CP
Program Plan Intro
Adelson-Velskii and Landis (AVL) tree:
- Adelson-Velskii and Landis tree is a well-balanced binary tree which is named after scientists G. M. Adelson-Velsky and E. M. Landis.
- In this tree, the difference between the heights of two different sub trees for every node may be 0 or 1.
- The process of insertion and deletion of an element in an AVL tree is same as in binary search tree except the concept of rebalancing the tree again after insertion and deletion.
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Chapter 26 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 26.2 - Prob. 26.2.1CPCh. 26.2 - Prob. 26.2.2CPCh. 26.2 - Prob. 26.2.3CPCh. 26.3 - Prob. 26.3.1CPCh. 26.3 - Prob. 26.3.2CPCh. 26.3 - Prob. 26.3.3CPCh. 26.4 - Prob. 26.4.1CPCh. 26.4 - Prob. 26.4.2CPCh. 26.4 - Prob. 26.4.3CPCh. 26.4 - Prob. 26.4.4CP
Ch. 26.5 - Use Listing 26.2 as a template to describe the...Ch. 26.6 - Prob. 26.6.1CPCh. 26.6 - Prob. 26.6.2CPCh. 26.6 - Prob. 26.6.3CPCh. 26.6 - Prob. 26.6.4CPCh. 26.7 - Prob. 26.7.1CPCh. 26.7 - Prob. 26.7.2CPCh. 26.7 - Prob. 26.7.3CPCh. 26.7 - Prob. 26.7.4CPCh. 26.8 - Prob. 26.8.1CPCh. 26.8 - Prob. 26.8.2CPCh. 26.8 - Prob. 26.8.3CPCh. 26.9 - Prob. 26.9.1CPCh. 26.9 - Prob. 26.9.2CPCh. 26.9 - Prob. 26.9.3CPCh. 26 - Prob. 26.5PE
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- What is the maximum height of an AVL tree with p nodes? Select one: a.log(p)/2 b.log(p) c.P d.p / 2arrow_forwardBuild an AVL tree with the following values: 15, 20, 24, 10, 13, 7, 30, 36, 25arrow_forwardThe following items are inserted into an AVL tree: 1, 2, 3, 8, and 9. How many rotations are performed in total to maintain an AVL tree?arrow_forward
- What maximum difference in heights between the leafs of a AVL tree is possible? * a) log(n) where n is the number of nodes b) n where n is the number of nodes c) 0 or 1 d) atmost 1arrow_forwardConsider a binary tree with 14 levels and a root node at depth 0. What is the maximum number of nodes in level 8 of the tree?arrow_forwardConsider the AVL tree given in the following figure and delete 39 from it.arrow_forward
- What is the maximum height for a binary tree of 100 nodes?arrow_forwardHow level of binary tree is calculated, , explain with example. Calculate the level of a binary tree with 16 elements?arrow_forwardAssume we have a full 4-ary tree, which contains 100 leaves. How many internal nodes are there, and how many nodes in total are there?arrow_forward
- What is the maximum number of nodes in a balanced binary tree of height 5, assuming that a tree with only a single node has height 1?arrow_forwardjust write the DFS alogorithm to find the maximum level of this tree. thanksarrow_forwardAccording to the Definitions between Tree and Binary Tree, which description is correct?(multiple choice)arrow_forward
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