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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