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Applications of Binary Tree

Implementation of Binary Tree:

Binary trees find applications in different domains due to their efficient structure for the organizing and manipulating the data. Some of the basic applications of binary tree are:

  1. Binary Search Trees (BST)
  2. Expression Evaluation
  3. Binary Heaps
  4. Balanced Binary Trees
  5. Binary Tree Traversal Algorithms
  6. File Systems
  7. Game Trees
  8. Huffman Encoding
  9. Trie Data Structure


Implementing a Binary Tree in Java

A binary tree is a hierarchical data structure composed of the nodes. Each node contains the value and references to its left child node and right child node, which are also binary trees that are possibly null. The structure resembles the tree with the nodes branching out from a central root, where each node have at most two children such as the left child node and the right child node.

The binary tree finds applications in different domains like computer science algorithms, database indexing, file systems etc. They offer efficient search, insertion and deletion operations when the appropriate balanced. In this Java, we will explore the basics of the binary tree. The implementation is focused on simplicity and clarity, it provides a solid foundation for understanding more advanced binary tree concepts and their applications.

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Organization of Binary Tree in Java

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Implementation of Binary Tree:

Java // Node Class class Node { int key; Node left, right; public Node(int item) { key = item; left = right = null; } } // BinaryTree Class public class BinaryTree { Node root; public BinaryTree() { root = null; } // Method to insert a new node with given key public void insert(int key) { root = insertRec(root, key); } // A recursive function to insert a new key in BST private Node insertRec(Node root, int key) { // If the tree is empty, return a new node if (root == null) { root = new Node(key); return root; } // Otherwise, recur down the tree if (key < root.key) root.left = insertRec(root.left, key); else if (key > root.key) root.right = insertRec(root.right, key); // return the (unchanged) node pointer return root; } // Method to print the tree inorder public void inorder() { inorderRec(root); } // A utility function to do inorder traversal of BST private void inorderRec(Node root) { if (root != null) { inorderRec(root.left); System.out.print(root.key + " "); inorderRec(root.right); } } // Method to search for a key in the tree public boolean search(int key) { return searchRec(root, key); } // A utility function to search for a key in BST private boolean searchRec(Node root, int key) { if (root == null) return false; if (root.key == key) return true; if (key < root.key) return searchRec(root.left, key); else return searchRec(root.right, key); } // Method to find the minimum value in the tree public int findMin() { return findMinRec(root); } // A utility function to find the minimum value in BST private int findMinRec(Node root) { if (root == null) throw new IllegalStateException("Tree is empty"); if (root.left == null) return root.key; return findMinRec(root.left); } // Method to find the maximum value in the tree public int findMax() { return findMaxRec(root); } // A utility function to find the maximum value in BST private int findMaxRec(Node root) { if (root == null) throw new IllegalStateException("Tree is empty"); if (root.right == null) return root.key; return findMaxRec(root.right); } public static void main(String[] args) { BinaryTree tree = new BinaryTree(); // Insert some nodes tree.insert(50); tree.insert(30); tree.insert(20); tree.insert(40); tree.insert(70); tree.insert(60); tree.insert(80); // Print inorder traversal of the tree System.out.println("Inorder traversal:"); tree.inorder(); // Output: 20 30 40 50 60 70 80 // Search for a key int searchKey = 40; if (tree.search(searchKey)) System.out.println("\nKey " + searchKey + " found in the tree."); else System.out.println("\nKey " + searchKey + " not found in the tree."); // Find minimum and maximum values System.out.println("Minimum value in the tree: " + tree.findMin()); System.out.println("Maximum value in the tree: " + tree.findMax()); } }...

Applications of Binary Tree

Binary trees find applications in different domains due to their efficient structure for the organizing and manipulating the data. Some of the basic applications of binary tree are:...

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Implementation of Binary Tree: