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
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
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
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)
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 Tree in Data Structures (Introduction)
- Tree Traversals: Inorder Postorder Preorder : C | C++ | Java
- Inorder Postorder PreOrder Traversals Examples
- Tree Traversal without Recursion
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
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- C| C++| Java
- Spiral Order traversal of Tree- C | C++| 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.- C| C++| 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- C | C++ | Java
- Lowest Common Ancestor in Binary Tree- C | C++ | Java
Introduction to Trees
Binary Trees
- Binary Tree in Data Structures (Introduction)
- Tree Traversals: Inorder Postorder Preorder : C | C++ | Java
- Inorder Postorder PreOrder Traversals Examples
- Tree Traversal without Recursion
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
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- C| C++| Java
- Spiral Order traversal of Tree- C | C++| 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.- C| C++| 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- C | C++ | Java
- Lowest Common Ancestor in Binary Tree. C | C++ | Java
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