• Java Data Structures Tutorial

In-order traversal in a tree



In this traversal method, the left subtree is visited first, then the root and later the right sub-tree. We should always remember that every node may represent a subtree itself.

If a binary tree is traversed in-order, the output will produce sorted key values in an ascending order.

In-order Traversal Tree

We start from A, and following in-order traversal, we move to its left subtree B. B is also traversed in-order. The process goes on until all the nodes are visited. The output of in-order traversal of this tree will be −

D → B → E → A → F → C → G

Algorithm

Until all nodes are traversed −

Step 1: Recursively traverse left subtree.
Step 2: Visit root node.
Step 3: Recursively traverse right subtree.

Example

class Node{
   int data;
   Node leftNode, rightNode;
   
   Node() {
      leftNode = null;
      rightNode = null;     
      this.data = data;
   }
   Node(int data) {
      leftNode = null;
      rightNode = null;     
      this.data = data;
   }
   int getData() {
      return this.data;	   
   }
   Node getleftNode() {
      return this.leftNode;      
   }
   Node getRightNode() {
      return this.leftNode;      
   }
   void setData(int data) {
      this.data = data; 
   }
   void setleftNode(Node leftNode) {
      this.leftNode = leftNode;      
   }
   void setRightNode(Node rightNode) {
      this.leftNode = rightNode;         
   }
}
public class InOrderBinaryTree {
   public static void main(String[] args) {
      Node node = new Node(50);
      node.leftNode = new Node(60);
      node.leftNode.leftNode = new Node(45);
      node.leftNode.rightNode = new Node(64);

      node.rightNode = new Node(60);
      node.rightNode.leftNode = new Node(45);
      node.rightNode.rightNode = new Node(64);
      System.out.println("inorder arrangement of given elements: ");
      inOrder(node);
   }
   public static void inOrder(Node root) {
      if(root !=null) {
         inOrder(root.leftNode);
         System.out.println(root.data);
         inOrder(root.rightNode);         
      }
   }
}

Output

inorder arrangement of given elements: 
45
60
64
50
45
60
64
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