Trees

Pre-requisites Recursion Object Oriented Programming Linked List (optional) Overview Introduction Where binary trees are used? Terminologies Types of binary trees Terminologies Binary Tree Implementation (code) Binary Search Tree Implementation (code) Binary Tree Traversal Methods and Their Uses Introduction Trees, particularly binary trees, are a fundamental data structure in computer science, renowned for their efficiency in various operations. Efficient Insertion, Deletion, and Search: One of the primary reasons for using binary trees is their efficiency in adding, deleting, and finding items. In a balanced binary tree, these operations can be performed in O(log n) time, making them significantly faster than linear data structures like arrays or linked lists for large data sets. Ordered Structure: Binary trees have an inherent ordered nature, especially binary search trees (BSTs). In a BST, the left subtree of a node contains only nodes with keys less than the node’s key, and the right subtree contains only nodes with keys greater than the node’s key. This property ensures that items are stored in an ordered manner, facilitating operations like in-order traversal, which retrieves items in a sorted sequence. Cost Efficiency: Binary trees are also memory-efficient. They dynamically allocate memory for nodes, unlike arrays, which may allocate more memory than needed. This dynamic allocation makes them suitable for systems where memory efficiency is crucial. Limitations of Binary Trees While binary trees offer several advantages, they are not without limitations, especially in certain configurations. ...