Tree Traversal Algorithms
📘 Data Structure and Algorithm
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📅 Nov 05, 2025
⏱ Estimated reading time: 1 min
Tree Traversal Algorithms
Tree traversal refers to visiting every node in a tree systematically. It is essential for performing operations such as printing, searching, and modifying nodes.
Types of Tree Traversal
1. Depth-First Traversal (DFS)
DFS explores as far as possible along each branch before backtracking.
- Inorder (Left, Root, Right): Used in BST to get elements in sorted order.
- Preorder (Root, Left, Right): Used to copy or serialize a tree.
- Postorder (Left, Right, Root): Used to delete or evaluate expression trees.
// Example: Inorder traversal (C++)
void inorder(Node* root) {
if (root != NULL) {
inorder(root->left);
cout << root->data << " ";
inorder(root->right);
}
}
2. Breadth-First Traversal (Level Order)
Visits nodes level by level from top to bottom using a queue.
// Example: Level Order Traversal
void levelOrder(Node* root) {
if (root == NULL) return;
queue q;
q.push(root);
while (!q.empty()) {
Node* current = q.front();
q.pop();
cout << current->data << " ";
if (current->left) q.push(current->left);
if (current->right) q.push(current->right);
}
}
Applications
- Traversal for printing and searching.
- Expression evaluation and syntax parsing.
- Serialization and deserialization of trees.
Conclusion
Tree traversal algorithms are essential for processing tree data structures. Choosing the right traversal depends on the specific operation and the structure of the tree.
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