Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 26.4, Problem 26.4.1CP
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Trace the construction of the AVL tree that results. Show the trees and the BFs for each node. Box in the final answer.99, 88, 77, 66, 55, 44, 33, 22, 11
For AVL tree in above, now what is the node X which causes the tree to be imbalanced with the alpha node at the root? Show inserting and balancing the tree. What type of imbalance is it?
Build an AVL tree with the following values: 15, 20, 24, 10, 13, 7, 30, 36, 25
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
Knowledge Booster
Similar questions
- 1.The tree is not an AVL tree because the following node(s) is/are unbalanced: 2.Which type of rotation should be performed as part of the previous node insertion to maintain an AVL tree?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_forwardUsing your registration number, Draw a binary tree and apply two rotations. Write down the pseudocode and explain how many nodes moved to make the tree as an AVL tree?arrow_forward
- Suppose a new element 50 is to be inserted to the above tree. Answer the following questions: 1) What will be the parent node for new Node 50 ? 2) If adding the new Node 50 would make the AVL Tree balanced or unbalanced? Why ?arrow_forwardRefer to the tree on the picture and answer the following questions 1. What rotation/s must be performed to make the tree balanced?2. After balancing the tree, what node will be the parent of node 71?arrow_forwardHow many different AVL trees can result from inserting permutations of 1, 2, and 3 into an initially empty tree?arrow_forward
- Create an AVL tree and add the following numbers to the tree to show the addition and rotations of each number step by step. (will be done on paper without code) 75, 10, 20, 27, 19, 120, 100, 88arrow_forwardDraw a KD Tree in the space below with these points inserted in the following order: (7,2), (6,4), (9,6), (8,1), (4,9), and (2,3). Assume the first level of the KD Tree is split along the x-axis. What point (from the KD Tree ) is the nearest neighbor of the point (1,4)?arrow_forwarddetermine the labeled tree having prufer code (4,5,7,2,1,1,6,6,7)arrow_forward
- Consider the below tree with 13 nodes, start from the root node and explore all the nodes and reach the node 92 using DFS.arrow_forwardWrite solution step by step Insert the following elements in an empty AVL tree one by one: 14,17,11,7,53,4,13. Balance the tree after each insertion. Then delete the elements: 53, 11 and balance it.arrow_forwardDraw the AVL tree after applying following operations.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
Starting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSON
Digital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSON
Database Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage Learning
Programmable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education