For AVL trees, make sure to check for balance after each operation and rotate if necessary before answering the question. 2 4 6 7 8 9 10 12 14 13 15 Delete 8. After deletion, what is the depth of node 4? Delete 10. After deletion, how many nodes would have to be added to the resulting tree for it to become a full binary tree?

For AVL trees, make sure to check for balance after each operation and rotate if necessary before answering the question. 2 4 6 7 8 9 10 12 14 13 15 Delete 8. After deletion, what is the depth of node 4? Delete 10. After deletion, how many nodes would have to be added to the resulting tree for it to become a full binary tree?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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2. This question is about binary search tree.a. Show the final result after inserting 3, 1, 4, 6, 9, 2, 8, 5, 7, 0 into an empty binary search tree.b. Show the result of deleting the root twice. If the deleted node contains 2 children, its value is replaced by the minimum value of the right subtree, and the deletion is propagated. Show the result after each deletion
Algorithm In addition, write a paragraph about solution strategy. please explain your solution without any plagiarism
Determine the minimum path for nodes 1, 3, and 9 in figure. Sketch the final trees. (sketch your answer on the vacant space below) 5. 5 min 2 min 4 min 3 min 4 min 3 min 4 min 2 min 6 min 6 min 6 min 3 min
Question 3: A Binary Tree is given, determine if it is a BST or Not? What condition we need to check at each node? Explain in detail. 20 10 31 6 50
Consider the following binary tree : i. List the path from the node with value 80 to the node with value 79. ii. Redraw the binary tree after deleting the node 52. iii. Delete nodes 80 and 58 in that order. Redraw the binary tree after each deletion. iv. The In-order and Pre-order series of binary tree are as follows, draw its binary tree. In-order: CEDFBAHJIKGMLPre-order: ABCDEFGHIJKLM
Delete operation makes use of the FIND MIN operation discussed in the earliersection. The delete operation is carried out as follows:D1: If the node NODE to be deleted in the k-d tree is a leaf node, then deleteNODE.D2: If the node NODE to be deleted has DISC = i, and has a right subtree, thencall FIND MIN, to obtain the node RIGHT_MIN, which has the minimum elementalong dimension i in the right subtree and replace NODE with RIGHT_MIN.Recursively delete RIGHT_MIN from the right subtree.D3: If the node NODE to be deleted has DISC = i, and has a left subtree, thencall FIND MIN to obtain the node LEFT_MIN, which has the minimum elementalong dimension i in the left subtree and replace NODE with LEFT_MIN.Recursively delete LEFT_MIN from the left subtree. Move the revised left subtreeas the right child of the current node.illustrate a recursive pseudocode description of the delete operation in a k-d tree using above statement
How many comparisons are needed to find that 22 is not in the tree? 12 28 2 4 3 1
Tree. use this data 7, 8,9, 1, 11,2,3, 4,5 ,6, 12, 13,14, 15, 16,17, 87, 67,65 . to make a 2-3 Tree and then Delete all (Please give the solution with java codes)
When deleting a node from a binary-search tree, if the node to be deleted has only one child, the node is deleted and (select one of the option below) O replaced with the left-most leaf node of its child subtree O replaced with the nullptr O None of these O replaced with its child node O replaced with the right-most leaf node of its child subtree.
Question: Make a graphical representation of “Red-Black Tree” with the following operations: Insertion Operation: Insert at least 8 values in a red-black tree. Show graphically the insert of each value. Explain each step of insertion in at least one line. Deletion operation: delete 3 different nodes from a red-black tree you have created above. Make sure, after the deletion, the remaining tree must be a red-black tree. Show all steps graphically while deleting each value. Searching Operation: Show graphically how can we search a specific value in a red-black tree. Note: use your own concept, don't copy from Google, etc.
Consider the following binary search tree (BST). root 15 42 20 34 72 2 10 18 25 31 39 59 86 17 19 32 After executing add(6), on this tree, consider the parent node of the node that contains 6. What is the value of this parent node? 30
Consider the following AVL tree; after deleting (15), what is the left child of the node 24? 20 15 24 22 27