Explain different types of tree traversals and their applications.
🔢 Data Structures And Algorithm• 9/21/2025
Understanding inorder, preorder, postorder, and level-order traversals with their specific use cases.
Tree Traversal Methods
Depth-First Traversals
Inorder Traversal (Left → Root → Right)
- Use Cases: Get sorted order in BST, expression trees
- Time Complexity: O(n)
- Space Complexity: O(h) where h is height
Preorder Traversal (Root → Left → Right)
- Use Cases: Copy tree, prefix expressions, tree serialization
- Applications: Creating tree from traversal
Postorder Traversal (Left → Right → Root)
- Use Cases: Delete tree, postfix expressions, calculate tree size
- Applications: Bottom-up processing
Breadth-First Traversal
Level-order Traversal
- Use Cases: Print by levels, find height, check completeness
- Implementation: Uses queue data structure
- Applications: Tree width, minimum depth
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