Answered: The time-complexity of deleting a node…

Engineering

Computer Science

The time-complexity of deleting a node from an AVL tree is in the worst case and in the average case.

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

See similar textbooks

Related questions

Q: Can someone explain why the result of Prim's method is always a Minimum Spanning Tree?

A: In order to locate a minimal spanning tree, the technique developed by Prim is used. It begins with…

Q: Consider a binary tree with 14 levels and a root node at depth 0. What is the maximum number of…

A: Please refer to the following step for the complete solution of the problem above.

Q: nodes does a full binary tree with 32 links have

A: A full binary tree with 32 links have 6 nodes.

Q: The minimum number of nodes in an AVL tree of height n is given by the following recurrence…

A: Answer: The Complete answer is given below.

Q: Given a binary tree, find its maximum depth.

A: The maximum depth of binary tree can be found using recursion. Here, we need to recursively find the…

Q: 14 20 26 12 C 15 E 12 10 8

A: Hamiltonian : Sorted Algorithm works as follows: 1.Sort the edge cost in ascending.2.Pick up the…

Q: design a dynamic programming algorithm to find a maximum matching in a tree with the time complexity…

A: Dynamic Programming Algorithm: Dynamic programming algorithm approach is similar to divide and…

Q: You are using a classification tree for a binary classification problem. At an ending node in the…

A: Dear Student, To solve this question we need to calculate the quality of split after the split then…

Q: root M D G Given that when a choice is available, nodes are visited left to right, what is the…

A: At first we need to divide them levelAt level 1 : Node AAt level 2: Node M,Node D,Node BAt level…

Q: What is the maximum height for an AVL tree of 100 nodes?

A: An AVL tree (Adelson-Belsky and Landis tree) is a self-balancing binary search tree. In an AVL tree,…

Q: What is a good way to quickly find the nearest neighbor to a given query point in an R-tree?

A: What is a good way to quickly find the nearest neighbor to a given query point in an R-tree?

Q: Write a program that inserts the numbers into an initially empty BST such that the tree produced is…

A: Actually, program is a executable software that runs on a computer. Please see step 2

Q: In the worst situation, binary tree sort using a self-balancing binary search tree takes O(n log n)…

A: Yes, that is correct. In the worst case, binary tree sort using a self-balancing binary search tree…

Q: What is the maximum height for an AVL tree of 1000 nodes?

A: An AVL tree is a self-balancing binary search tree where the heights of the left and right subtrees…

Q: Suppose we have an AVL tree of height h storing n entries. Mark all of the following statements as…

A: An AVL Tree is a type of tree which check whether the left and right subtree doesn't have a…

Q: For a full 5-ary tree, where n = the number of nodes, i = the number of internal nodes, and l = the…

A: given: --> the tree is a full 5-ary tree -->n = number of nodes --> i = number of internal…

Q: A binary search tree is given and we find its preorder traversal as follows: Pre-order: 8, 3, 2,…

A: Here in this question we have given a preorder of BST and we have asked to find the post order and…

Q: What is the worst-case runtime for a node insertion in an AVL tree? n is the number of nodes in the…

A: Insertion in AVL tree has the worst-case complexity of O(log n). because it is self balanced binary…

Q: In a FULL binary search tree where every non lead node has two children, what is the worst case and…

A: The average case and worst case complexity of operations is O(logn)

Q: 3. The post-order traversal of a binary tree is O P Q RST. Then possible pre- order traversal will…

A: The correct order will be T Q O P S R

Q: If a data set has 10403 data observations, the maximum number of leaf nodes in a tree grown on that…

A: Introduction : Note: Answering the first question as per the guidelines. Given Data : Number of…

Q: Suppose the Bellman-Ford al aw a table showing the intermed corithm. ow the final shortest-path tree…

Q: Even in the worst case, a self-balancing binary search tree takes O(n log n) time to sort a binary…

A: Sorting is a fundamental operation in computer science, and various algorithms have been developed…

Q: Delete the node with value 70 from the given BST (on left side). Show the final BST (on right side).…

A: The solution is given below for the above-given question:

Q: If root node is at height 0 then height of a skew binary tree with n nodes is

A: Here have to determine about height of skew binary tree

Q: In a full 4-ary tree, if the total number of leaves is 13, then the total number of edges = %3D O a.…

A: e :- Number of edges n - number of vertices m - number of ary tree L - number of leaves e = n – 1 n…

Q: Computer Science A left-child, right-sibling tree T with n nodes holds a score, a real integer >0,…

A: In this question we have to write a C++ code for the method to solve on the max sum for nodes with…

Q: In a binary tree of height k, what is the maximum number of nodes?

A: A binary tree is an ADT where each node can have maximum 2 child as it successor.

Q: Why does using Prim's method always result in a Minimum Spanning Tree being returned?

A: Prim's algorithm is a popular algorithm used to find the minimum spanning tree of a weighted…

Q: Inorder traversal of binary tree is 4 25 1 3

A: // C program#include <stdio.h>#include <stdlib.h> // A binary tree structure which…

Q: For the following binary search tree, what could be a level-order traversal sequence after deleting…

A: We are given a Binary Search Tree and we have to find the level order traversal after deleting the…

Q: sholve by recurence tree or subtition method T(n) = 4T(n-1) + 1

A: I am providing a solution in handwritten. See the below step for an explanation.

Q: Write Procedure for algorithm SUPER-GATHERING-SPANNING-TREE(GST)

A: Introduction: The procedure SUPER-GATHERING-SPANNING-TREE constructs a super-gathering-spanning tree…

Q: Let's say you used in-order traversal to print the nodes of this tree. What nodes would be printed…

A: Dear Student,Inorder traversal is a type of depth-first traversal that visits the left-subtree, then…

Q: In a full binary tree if there are L leaves, then total number of nodes N are? Lütfen birini seçin:…

A: Given: In a full binary tree if there are L leaves, then the total number of nodes N are A. N=2*L-1…

Q: For a Binary Tree with 1023 (= 2^10 - 1) items what is the minimum height? The maximum?

A: Dear Student, The answer to your question is given below -

Q: show that one can always build a red-black tree with n nodes such that there's no more than O(log n)…

A: show that one can always build a red-black tree with n nodes such that there's no more than O(log n)…

Q: What is the minimum height for an AVL tree of 1000 nodes?

A: In an AVL tree, the height is balanced so that any node's left and right subtrees have height…

Q: Given 8 red nodes, design a red-black tree with

Q: You have a B-tree containing 99999 (approximately 100000) keys and with a minimum degree t=10. What…

A: Dear Student, The answer to your question along with required explanation is given below -

Q: Maximum how many nodes can there be in a complete Binary Tree with level h

A: Complete Binary Tree is a Binary Tree where all levels of tree are completely filled except the last…

Q: The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum…

A: Introduction. Given , Hight (t) = longest root to leaf path. The maximum, minimum number of nodes…

Question

The time-complexity of deleting a node from an AVL tree is ____ in the worst case and ____ in the average case.

- O(n), O(n)
- O(n), O(log₂n)
- O(log₂n), O(log₂n)
- O(n²), O(n)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 : Concept

VIEW

Step 2 : Options

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

. Find the shortest path from source node 1 to every other node using suitable Graph Algorithm. Write the following string with your information: string=”your Uzair Bhatti 19-arid-1041” //consider & use space after each word Now draw a Huffman tree and generate codes.
In a 5-ary tree, what is the maximum number of siblings a node x can have? What is the minimum number of siblings x can have?
Even in the worst case scenario, using a self-balancing binary search tree to do a binary tree sort takes O(n log n) time, which is much longer than the time required for merge sort.
What traversal method is used on binary search trees for deleting all of the nodes in the tree? The answer not inorder inorder post-order pre-order any traversal method is fine
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
If T is a binary tree with 100 vertices, what is its minimum height?
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
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.
Use Kruskals Algorithm to compute the Minimum Spanning Tree for the weighted graph be- low. Indicate your answer by labelling the edges in the order in which they are added to the tree. 2 10 A 9. 9 9, 5. 4 5 10 5 5, 5
In general, in an avl tree, worst case for finding (and inserting and deleting) data takes: (a) O(1) (b) O(n) (c) O(n log n) (d) O(n2) (e) O(log n)
Option+Explanation
What is the minimum height for an AVL tree of 100 nodes?