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 26.2, Problem 26.2.3CP
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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- Splay tree has several practical uses.arrow_forward3. Draw the AVL Tree of the following. NOTE: Show the tree before and after rotations.C O M P U T I N G a.) Using the AVL in (3), add S E A Rarrow_forwardAre you familiar with the properties of trees that have minimum spanning? The use of language c is presumed.arrow_forward
- i. ii. Using an array-based representation of a binary tree, the following array represents a binary tree. 0 1 2 3 59 39 75 4 48 5 6 70 80 111. Draw the binary tree that is represented by the above array. 7 8 9 10 11 12 13 14 44 68 90 What is the postorder traversal of the binary tree that is created in (i). What is the parent of 72?arrow_forwardCreate an AVL tree with a height of 3 where the root of the tree would be the imbalanced alpha node if another single node X is inserted into the tree. Show the creation of the tree starting with the empty tree. Show each individual step of inserting the nodes and at each step state which rotation was done (if a rotation was done). Each value in the tree must be an integer and unique. For this problem, you can use drawings and even the visualization tools. You don’t need to implement this problem.arrow_forwardSuppose an array is given A = [A, C, E, F, K, L, M, N, Y, Z] a. Draw a complete TERNARY tree from array A.b. Write preorder and postorder traversal for the created complete ternary.c. Draw the adjacency matrix and adjacency list for the complete ternary tree/graph. [You must consider the tree direction from top to bottom when drawing adjacencymatrix and list]arrow_forward
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