Applications of Binary Trees

Binary tree are the versatile data structure widely used in the various applications due to the hierarchical nature and efficient performance in the certain operations. Following are some applications of the binary tree:

• Full Binary Tree: It is used in the binary heap implementations and it is optimal merge patterns.
• Complete Binary Tree: It is used in the binary heaps which are useful in the priority queues and it is used in the efficient storage management such as heap sort.
• Perfect Binary Tree: It is used in the complete binary tree implementation for the efficiency and it is perfect for the implementing full binary trees in the array representations.
• Balanced Binary Tree: It is used in the AVL and Red-Black trees for the efficient searching operation, insertion operation and deletion operation.
• Binary Search Tree (BST): It is used in the database indexing and also it is used in the dictionary and phonebook applications. It is also efficient for the search operation, insert operation and delete operation when it was balanced.
• AVL Tree: It is used in the situations where the search time needs to be minimized. It is database applications where the frequent insertions and deletions are expected.
• Red-Black Tree: It is used in C++ STL map and multimap implementations.
• Segment Tree: It is used in the computational geometry for the problems such as finding intersections, range, queries, etc.,
• Fenwick Tree (Binary Indexed Tree): It is used in the scenarios requiring the dynamic cumulative frequency tables. It is efficient for the frequency queries and updates.

A binary tree is a non-linear hierarchical data structure in which each node has at most two children known as the left child and the right child. It can be visualized as a hierarchical structure where the topmost node is called the root node and the nodes at the bottom are called leaf nodes or leaves.

In this article, we will learn the basics of binary trees, types of binary trees, basic operations that can be performed on binary trees as well as applications, advantages, and disadvantages of binary trees in C.