Data Structures Tutorial

Data Structures Tutorial Asymptotic Notation Structure and Union Array Data Structure Linked list Data Structure Type of Linked list Advantages and Disadvantages of linked list Queue Data Structure Implementation of Queue Stack Data Structure Implementation of Stack Sorting Insertion sort Quick sort Selection sort Heap sort Merge sort Bucket sort Count sort Radix sort Shell sort Tree Traversal of the binary tree Binary search tree Graph Spanning tree Linear Search Binary Search Hashing Collision Resolution Techniques

Misc Topic:

Priority Queue in Data Structure Deque in Data Structure Difference Between Linear And Non Linear Data Structures Queue Operations In Data Structure About Data Structures Data Structures Algorithms Types of Data Structures Big O Notations Introduction to Arrays Introduction to 1D-Arrays Operations on 1D-Arrays Introduction to 2D-Arrays Operations on 2D-Arrays Strings in Data Structures String Operations Application of 2D array Bubble Sort Insertion Sort Sorting Algorithms What is DFS Algorithm What Is Graph Data Structure What is the difference between Tree and Graph What is the difference between DFS and BFS Bucket Sort Dijkstra’s vs Bellman-Ford Algorithm Linear Queue Data Structure in C Stack Using Array Stack Using Linked List Recursion in Fibonacci Stack vs Array What is Skewed Binary Tree Primitive Data Structure in C Dynamic memory allocation of structure in C Application of Stack in Data Structures Binary Tree in Data Structures Heap Data Structure Recursion - Factorial and Fibonacci What is B tree what is B+ tree Huffman tree in Data Structures Insertion Sort vs Bubble Sort Adding one to the number represented an array of digits Bitwise Operators and their Important Tricks Blowfish algorithm Bubble Sort vs Selection Sort Hashing and its Applications Heap Sort vs Merge Sort Insertion Sort vs Selection Sort Merge Conflicts and ways to handle them Difference between Stack and Queue AVL tree in data structure c++ Bubble sort algorithm using Javascript Buffer overflow attack with examples Find out the area between two concentric circles Lowest common ancestor in a binary search tree Number of visible boxes putting one inside another Program to calculate the area of the circumcircle of an equilateral triangle Red-black Tree in Data Structures Strictly binary tree in Data Structures 2-3 Trees and Basic Operations on them Asynchronous advantage actor-critic (A3C) Algorithm Bubble Sort vs Heap Sort Digital Search Tree in Data Structures Minimum Spanning Tree Permutation Sort or Bogo Sort Quick Sort vs Merge Sort Boruvkas algorithm Bubble Sort vs Quick Sort Common Operations on various Data Structures Detect and Remove Loop in a Linked List How to Start Learning DSA Print kth least significant bit number Why is Binary Heap Preferred over BST for Priority Queue Bin Packing Problem Binary Tree Inorder Traversal Burning binary tree Equal Sum What is a Threaded Binary Tree? What is a full Binary Tree? Bubble Sort vs Merge Sort B+ Tree Program in Q language Deletion Operation from A B Tree Deletion Operation of the binary search tree in C++ language Does Overloading Work with Inheritance Balanced Binary Tree Binary tree deletion Binary tree insertion Cocktail Sort Comb Sort FIFO approach Operations of B Tree in C++ Language Recaman’s Sequence Tim Sort Understanding Data Processing Applications of trees in data structures Binary Tree Implementation Using Arrays Convert a Binary Tree into a Binary Search Tree Create a binary search tree Horizontal and Vertical Scaling Invert binary tree LCA of binary tree Linked List Representation of Binary Tree Optimal binary search tree in DSA Serialize and Deserialize a Binary Tree Tree terminology in Data structures Vertical Order Traversal of Binary Tree What is a Height-Balanced Tree in Data Structure Convert binary tree to a doubly linked list Fundamental of Algorithms Introduction and Implementation of Bloom Filter Optimal binary search tree using dynamic programming Right side view of binary tree Symmetric binary tree Trim a binary search tree What is a Sparse Matrix in Data Structure What is a Tree in Terms of a Graph What is the Use of Segment Trees in Data Structure What Should We Learn First Trees or Graphs in Data Structures All About Minimum Cost Spanning Trees in Data Structure Convert Binary Tree into a Threaded Binary Tree Difference between Structured and Object-Oriented Analysis FLEX (Fast Lexical Analyzer Generator) Object-Oriented Analysis and Design Sum of Nodes in a Binary Tree What are the types of Trees in Data Structure What is a 2-3 Tree in Data Structure What is a Spanning Tree in Data Structure What is an AVL Tree in Data Structure Given a Binary Tree, Check if it's balanced B Tree in Data Structure Convert Sorted List to Binary Search Tree Flattening a Linked List Given a Perfect Binary Tree, Reverse Alternate Levels Left View of Binary Tree What are Forest Trees in Data Structure Compare Balanced Binary Tree and Complete Binary Tree Diameter of a Binary Tree Given a Binary Tree Check the Zig Zag Traversal Given a Binary Tree Print the Shortest Path Given a Binary Tree Return All Root To Leaf Paths Given a Binary Tree Swap Nodes at K Height Given a Binary Tree Find Its Minimum Depth Given a Binary Tree Print the Pre Order Traversal in Recursive Given a Generate all Structurally Unique Binary Search Trees Perfect Binary Tree Threaded Binary Trees Function to Create a Copy of Binary Search Tree Function to Delete a Leaf Node from a Binary Tree Function to Insert a Node in a Binary Search Tree Given Two Binary Trees, Check if it is Symmetric A Full Binary Tree with n Nodes Applications of Different Linked Lists in Data Structure B+ Tree in Data Structure Construction of B tree in Data Structure Difference between B-tree and Binary Tree Finding Rank in a Binary Search Tree Finding the Maximum Element in a Binary Tree Finding the Minimum and Maximum Value of a Binary Tree Finding the Sum of All Paths in a Binary Tree Time Complexity of Selection Sort in Data Structure How to get Better in Data Structures and Algorithms Binary Tree Leaf Nodes Classification of Data Structure Difference between Static and Dynamic Data Structure Find the Union and Intersection of the Binary Search Tree Find the Vertical Next in a Binary Tree Finding a Deadlock in a Binary Search Tree Finding all Node of k Distance in a Binary Tree Finding Diagonal Sum in a Binary Tree Finding Diagonal Traversal of The Binary Tree Finding In-Order Successor Binary Tree Finding the gcd of Each Sibling of the Binary Tree Greedy Algorithm in Data Structure How to Calculate Space Complexity in Data Structure How to find missing numbers in an Array Kth Ancestor Node of Binary Tree Minimum Depth Binary Tree Mirror Binary Tree in Data Structure Red-Black Tree Insertion Binary Tree to Mirror Image in Data Structure Calculating the Height of a Binary Search Tree in Data Structure Characteristics of Binary Tree in Data Structure Create a Complete Binary Tree from its Linked List Field in Tree Data Structure Find a Specified Element in a binary Search Tree Find Descendant in Tree Data Structure Find Siblings in a Binary Tree Given as an Array Find the Height of a Node in a Binary Tree Find the Second-Largest Element in a Binary Tree Find the Successor Predecessor of a Binary Search Tree Forest of a Tree in Data Structure In Order Traversal of Threaded Binary Tree Introduction to Huffman Coding Limitations of a Binary Search Tree Link State Routing Algorithm in Data Structure Map Reduce Algorithm for Binary Search Tree in Data Structure Non-Binary Tree in Data Structure Quadratic Probing Example in Hashing Scope and Lifetime of Variables in Data Structure Separate Chaining in Data Structure What is Dynamic Data Structure Separate Chaining vs Open Addressing Time and Space Complexity of Linear Data Structures Abstract Data Types in Data Structures Binary Tree to Single Linked List Count the Number of Nodes in the Binary Tree Count Total No. of Ancestors in a Binary Search Tree Elements of Dynamic Programming in Data Structures Find cost of tree with prims algorithm in data structures Find Preorder Successor in a Threaded Binary Tree Find Prime Nodes Sum Count in Non-Binary Tree Find the Right Sibling of a Binary Tree with Parent Pointers Find the Width of the Binary Search Tree Forest trees in Data Structures Free Tree in Data Structures Frequently asked questions in Tree Data Structures Infix, Postfix and Prefix Conversion Time Complexity of Fibonacci Series What is Weighted Graph in Data Structure

What is an AVL Tree in Data Structure?
2022-11-23 02:25:24

What is an AVL Tree in Data Structure?

AVL tree stands for (Adelson, Velskii, & Landis Tree)

Data structure

Data management is called database management. A data model is a system used to store, manage, and optimize computer resources. Data processing is not just about data storage. Almost every app or program has notices and updates about its version. Data structures are so simple and complex that it is difficult to program with a programming language that does not have data structures.

Data processing is the process of using intelligence and software to manage, organize, store and store information on a computer device or system. Data models provide visualization for easy data organization and management. Any basic process, program, or program has two parts: data and algorithms - the rules and regulations of data exchange and algorithms.

There are two types of data structures

  1. Linear Data structures.
  2. Non-linear data structures.

Linear Data structures

This data type adds data to the data type. It's all about the process. You can then delete the duplicate. There are four types of linear data, they are:

  1. Queue
  2. Stack
  3. Linked lists
  4. Array

Non-linear Data structures

Data formats can be created in a variety of ways. There are two types of interpersonal communication:

  1. Tree data structure
  2. Graph data structure

Tree Data structure

The information about the tree is self-explanatory.

Tree A node-based data model that represents and supports the structure as a structure. In an asynchronous database, data is stored in a tree data structure called a database. All data types are stored in a central location. Each line of text is called the lower branch of the data type tree.

Two types of plants. This is limited to confidential information. Because this data processing is an individual process. This means that a binary plant can produce 0, 1, or 2 seeds at any time. Binary search trees can quickly parse nested and linked expressions. This allows binary trees to provide values ??from list and associate arrays. It is easy to find hidden items. (because it is a powerful data structure)

Types of trees in data structures

Now that we know what trees are let us now learn the different types of trees in data structures.

There are six types of trees in data structures, and they are mentioned below:

  1. General tree
  2. Binary tree
  3. Binary search tree
  4. AVL tree (Adelson, Velskii, & Landis Tree)
  5. Red-Black tree
  6. N array tree

AVL tree (Adelson, Velskii, and Landis Tree)

The programmers Adelson, Velskii, and Landis, invented the AVL tree (Adelson, Velskii, & Landis Tree) in 1992. AVL tree (Adelson, Velskii, & Landis Tree) is a height-balancing search tree.

Note

Height balanced node

To calculate the height balance of each node, we need to calculate the heights of both the subtrees of that node which leads to a recursive and non-practical approach. All the nodes of a given tree data structure store their respective data and maintain the information regarding the height balance values of its child nodes.

The difference between nodes of left and right sub-trees is known as the balancing factor in a tree data structure. The balancing factor of an AVL tree (Adelson, Velskii, & Landis Tree) is between – 1 and 1 (i.e., - 1 or 0 or 1).

Balancing factor = height of right subtree – height of left subtree

  1. We can conclude that the left subtree of a given node in an AVL tree (Adelson, Velskii, & Landis Tree) tree is higher than the right subtree by one level if the balancing factor of the node is 1.
  2. Similarly, we can also conclude that the right subtree of a given node in an AVL tree (Adelson, Velskii, & Landis Tree) tree is higher than the left subtree by one level if the balancing factor of the node is 1.
  3. And it is clear that both the left subtree and the right subtree of a given node in an AVL tree (Adelson, Velskii, & Landis Tree) are on the same level if the balancing factor of the node is 0.

Here is an example of an AVL tree (Adelson, Velskii, & Landis Tree) tree:

What is an AVL Tree in Data Structuree

Complexity

Let us look at the complexities of an AVL tree (Adelson, Velskii, & Landis Tree).

The worst-case space complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (n), and the average case space complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (n).

The worst-case search complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (log n), and the average case search complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (log n).

The worst-case insertion complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (log n), and the average case insertion complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (log n).

The worst-case deletion complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (log n), and the average case deletion complexity of an AVL tree (Adelson, Velskii, & Landis Tree) is O (log n).

Why should we use the AVL tree (Adelson, Velskii, & Landis Tree)?

An AVL tree (Adelson, Velskii, & Landis Tree) does not let a binary search tree be skewed. By this, it controls the height of it. It takes O (h) time to perform all the operations in a binary search tree.

Operations that can be performed in an AVL tree (Adelson, Velskii, & Landis Tree)

We can perform all the operations that are performed on a binary tree in an AVL tree (Adelson, Velskii, & Landis Tree). Mostly we perform the insertion, searching, traversing, and deletion operations in the AVL tree (Adelson, Velskii, & Landis Tree). The searching and traversing operations are the same as in binary search, but the insertion and deletion operations need to be revisited.