Inorder Postorder Preorder Tree Traversals in Binary Tree

Inorder Postorder Preorder Tree Traversals In C

There are three most popular ways in which we can traverse a binary tree which are –
  • Inorder
  • Postorder
  • PreOrder
Here we are explaining all these Inorder Postorder Preorder tree traversals in C language
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How each of the Postorder, Inorder, Preorder work?

Inorder

  • Traverse the left sub-tree, (recursively call inorder(root -> left).
  • Visit and print the root node.
  • Traverse the right sub-tree, (recursively call inorder(root -> right).

Tips to remember –

  • Direction : Clockwise direction
  • Rule : LCR i.e. Left Center(root) Right
Inorder Postorder Preorder Tree Traversals

Preorder

  • Visit and print the root node.
  • Traverse the left sub-tree, (recursively call Preorder(root -> left).
  • Traverse the right sub-tree, (recursively call Preorder(root -> right)

Tips to remember –

  • Direction : Anti-Clockwise direction
  • Rule : CLR i.e. Center(root) left Right
PreOrder Tree Traversal in Binary Tree in C – 1.3

Postorder

  • Traverse the left sub-tree, (recursively call Postorder(root -> left).
  • Traverse the right sub-tree, (recursively call Postorder(root -> right).
  • Visit and print the root node

Tips to remember –

  • Direction : Anti-Clockwise direction
  • Rule : LRC i.e.  Left Right Center(root)
Inorder Postorder Preorder Tree Traversals

Code for Inorder PostOrder PreOrder in Binary Tree 

Run
// Program for tree traversal inorder, postorder, preorder in Binary Tree
#include<stdio.h>
#include<stdlib.h>
// We are creating struct for the binary tree below
struct node
{
  int data;
  struct node *left, *right;
};

// newNode function for initialisation of the newly created node
struct node *newNode (int item)
{
  struct node *temporary = (struct node *) malloc (sizeof (struct node));
  temporary->data = item;
  temporary->left = temporary->right = NULL;
  return temporary;
}

// Here we print the postorder recursively
void postorder (struct node *root)
{
  if (root != NULL)
    {
      postorder (root->left);
      postorder (root->right);
      printf ("%d ", root->data);
    }
}

// Here we print the preorder recursively
void preorder (struct node *root)
{
  if (root != NULL)
    {
      printf ("%d ", root->data);
      preorder (root->left);
      preorder (root->right);
    }
}

// Here we print the inorder recursively
void inorder (struct node *root)
{
  if (root != NULL)
    {
      inorder (root->left);
      printf ("%d ", root->data);
      inorder (root->right);
    }
}

// Basic Program to insert new node at the correct position in BST
struct node *insert (struct node *node, int data)
{
  /* When there no node in the tree(subtree) then create 
   and return new node using newNode function */
  if (node == NULL)
    return newNode (data);

  /* If not then we recur down the tree to find correct position for insertion */
  if (data < node->data)
    node->left = insert (node->left, data);
  else if (data > node->data)
    node->right = insert (node->right, data);

  return node;
}

int main ()
{
  /* What our binary search tree looks like really 
      9 
     / \ 
    7  14
   / \ / \ 
  5  8 11 16 */
  
  struct node *root = NULL;
  root = insert (root, 9);
  insert (root, 7);
  insert (root, 5);
  insert (root, 8);
  insert (root, 14);
  insert (root, 11);
  insert (root, 16);

  printf ("The postorder is :\n");
  postorder (root);

  printf ("\nThe preorder is :\n");
  preorder (root);

  printf ("\nThe inorder is :\n");
  inorder (root);

  return 0;
}

Output:

The postorder is :
5 8 7 11 16 14 9 
The preorder is :
9 7 5 8 14 11 16 
The inorder is :
5 7 8 9 11 14 16 

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Introduction to Trees

Binary Trees

Binary Search Trees

Traversals

  • Traversal in Trees
  • Tree Traversals: Breadth-First Search (BFS) : C | C++ | Java
  • Tree Traversals: Depth First Search (DFS) : C | C++ | Java
  • Construct a Binary Tree from Postorder and Inorder

B – Trees

AVL Trees

  • AVL Trees
    • AVL Trees: Introduction
    • AVL Tree Insertion : C | C++ | Java
    • AVL Tree Deletion : C | C++ | Java
    • Insertion in a Binary Tree (Level Order) – C | C++ | Java
    • Searching in Binary Tree – C | C++ | Java
    • Searching in a Binary Search Tree – C | C++ | Java

Complete Programs for Trees

  • Depth First Traversals – C | C++ | Java
  • Level Order Traversal – C | C++Java
  • Construct Tree from given Inorder and Preorder traversals – C | C++Java
  • Construct Tree from given Postorder and Inorder traversals – C | C++Java
  • Construct Tree from given Postorder and Preorder traversal – C | C++Java
  • Find size of the Binary tree – C | C++Java
  • Find the height of binary tree – C | C++Java
  • Find maximum in binary tree – C | C++Java
  • Check whether two tree are identical- CC++Java
  • Spiral Order traversal of Tree- CC++Java
  • Level Order Traversal Line by Line – C | C++Java
  • Hand shaking lemma and some Impotant Tree Properties.
  • Check If binary tree if Foldable or not.- CC++Java
  • check whether tree is Symmetric – C| C++Java.
  • Check for Children-Sum in Binary Tree- C|C++Java
  • Sum of all nodes in Binary Tree- CC++ | Java
  • Lowest Common Ancestor in Binary Tree- CC++ | Java

Introduction to Trees

Binary Trees

Binary Search Trees

Traversals

  • Traversal in Trees
  • Tree Traversals: Breadth-First Search (BFS) : C | C++ | Java
  • Tree Traversals: Depth First Search (DFS) : C | C++ | Java
  • Construct a Binary Tree from Postorder and Inorder

B – Trees

AVL Trees

  • AVL Trees
    • AVL Trees: Introduction
    • AVL Tree Insertion :  C | C++ | Java
    • AVL Tree Deletion : C | C++ | Java
    • Insertion in a Binary Tree (Level Order) – C | C++ | Java
    • Searching in Binary Tree – C | C++ | Java
    • Searching in a Binary Search Tree – C | C++ | Java

Complete Programs for Trees

  • Depth First Traversals – C | C++ | Java
  • Level Order Traversal – C | C++Java
  • Construct Tree from given Inorder and Preorder traversals – C | C++Java
  • Construct Tree from given Postorder and Inorder traversals – C | C++Java
  • Construct Tree from given Postorder and Preorder traversal – C | C++Java
  • Find size of the Binary tree – C | C++Java
  • Find the height of binary tree – C | C++Java
  • Find maximum in binary tree – C | C++Java
  • Check whether two tree are identical- CC++Java
  • Spiral Order traversal of Tree- CC++Java
  • Level Order Traversal LIne by Line – C | C++Java
  • Hand shaking lemma and some Impotant Tree Properties.
  • Check If binary tree if Foldable or not.- CC++Java
  • check whether tree is Symmetric  C| C++Java.
  • Check for Children-Sum in Binary Tree- C|C++Java
  • Sum of all nodes in Binary Tree- CC++ | Java
  • Lowest Common Ancestor in Binary Tree. CC++ | Java