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: The postorder traversal of a binary tree is 10, 24, 32, 30, 26, 16, 40, 90, 80, 60, 50, 36. The…

A: Answer: we will construct a binary tree from the given in order and post order traversal as…

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: 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: : What is the smallest integer k such that G has a spanning tree in which no node has degree greater…

A: If we find the node with the maximum degree in the graph, then we can easily depict that all other…

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: , what is the minimum number of children that a nonleaf, nonroot node may have?

A: Solution - In the given question, we have to select the correct choice.

Q: How many total nodes does a 7-ary tree have if its depth is 4? DEPTH counting starts at 1 at the…

A: We know the formula to count the number of nodes, In N - ary tree there are total N sub-nodes, based…

Q: Write the algorithm that finds the number of leaf nodes in a binary tree, that is, nodes that have…

A: We need to write an algorithm that finds the total number of leaf nodes in a binary tree using…

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: Construction of a 2D tree from N random points requires 2N In N comparisons, on the average.

A: Indeed, for randomly distributed points, 2D trees have the same performance characteristics as…

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: 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: Why does the Prim's algorithm always yield a Minimum Spanning Tree?

A: Beginning: A minimal spanning tree is found using Prim's approach. It begins with an empty spanning…

Q: Given: Binary Tree. Using Depth-First Search, determine the path from root Node A to Node W. Sample…

A: Let us see the answer below,

Q: Consider an empty B-Tree with minimum degree of two(maximum 3 keys for each node). We insert 10…

A: The B-tree is defined as The B-tree is a self-balancing tree data structure that sustains sorted…

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: The term "binary tree" refers to a rooted tree where each node can only have two children. Show that…

A: A binary tree is a rooted tree in which each node has two offspring, maximum. Demonstrate that there…

Q: Some implementations of binary search trees allow for duplicates by introducing the following rule:…

A: A Better Solution is to augment every tree node to store count together with regular fields like…

Q: 2. AVL Tree rotations: (a) Given the following AVL tree, if node 83 is deleted, how many rotations…

A: Given: AVL tree with a number of nodes. Goal: We have to find a number of rotations and final tree…

Q: Give an inductive definition of the function nodecount(t) which computes the number of internal…

A: Give an inductive definition of the function nodecount(t) which computes the number of internal…

Q: Construct a Huffman tree for the given eight leaf nodes (a, b, c, d, e, f, g, h} with weights of 5,…

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: 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: Show the distances from the room of each node of a breadifth first spanning tree starting with Node…

A: Given graph contains, Set of vertices= {A, B, C, D, E, F, G, H, I, J, K, L, M, N} Between these…

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: Algorithm to find Number of Nodes in a Binary Tree (cont.) Base Cases: The empty tree is…

A: there is one recursive stack frame for each node in the tree and each stack frame does a constant…

Q: In a binary tree, the number of internal nodes of degree 1 is 5, and the number of internal nodes of…

A: Introduction ::Given ,A Binary Tree , internal nodes (degree 1 ) = 5internal nodes (degree 2) = 10we…

Q: Draw a binary search tree for the Pre-order traversal of sequence 10, 4, 2, 1, 6, 5, 7, 17, 13, 16,…

A: Step 1:- Preoder:-Root Left Right

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

Q: For a 2-3 tree containing real numbers, design an algorithm for computing the range (i.e., the…

A: According to the information given:- We have to design an algorithm for computing the range for a…

Q: Given the graph below: which node should be the source node ("x") in finding the shortest path tree…

A: The question is to choose the correct option from the given four options.

Q: ary tree. The POSTORD tree is 19, 12, 26, 31, : nd the INORDER trave 49, 54, 57, 58, 63. If the 0 +…

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: it possible for a minimum spanning tree to have a cycle? Why or why not

A: Given Is it possible for a minimum spanning tree to have a cycle? Why or why not?

Q: 2 10 10 30 20 100 4 60

Q: n a 5-ary tree, what is the maximum number of siblings a node x can have? What is the minimum number…

A: In a 5-ary tree maximum no. of siblings possible for a node, x is 5, and the minimum no. 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

Write Kruskal’s algorithm with the union–find data structure incorporated is as follows. pre-cond: G is an undirected graph. post-cond: The output consists of a minimal spanning tree.
Construction of a 2D tree from N random points requires 2N In N comparisons, on the average.
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
The total number of nodes on the pathways leading from the root to all null links is the definition of a tree's external path length. Show that in every binary tree with N nodes, the difference between the internal and exterior path lengths is 2N.
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
Write the binary tree representation for the Binary Search for also 17 elements and give the worst-case
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.
Consider a weight balanced tree such that, the number of nodes in the left sub tree is at least half and at most twice the number of nodes in the right sub tree. The maximum possible height (number of nodes on the path from the root to the farthest leaf) of such a tree on k nodes can be described asa) log2 nb) log4/3 nc) log3 nd) log3/2 n
Option+Explanation