Beginner Topic 16 of 52 Data Structures
Tree Traversals
Visiting nodes in preorder, inorder, postorder or level order.
How it works
Traversals visit every node in a systematic order. Preorder visits the node before its children, inorder visits left subtree, node, then right subtree, and postorder visits the children first. Level-order uses a queue to visit nodes row by row. Depth-first versions use recursion or an explicit stack, and each runs in O(n) time.
Where it is used
Inorder traversal of a binary search tree yields sorted keys, preorder copies or serializes a tree, postorder evaluates expression trees and deletes nodes safely, and level-order finds shortest depth.
Common pitfall
Choosing the wrong order gives wrong results, for example using preorder when sorted output is needed. Deep recursion can overflow the stack on skewed trees; use iterative traversals or Morris traversal. Modifying the tree while traversing can skip or repeat nodes.
Where it fits in the course
Tree Traversals is topic 16 of 52 in Data Structures, rated Beginner. It follows Binary Trees. The next topic is Binary Search Trees.
Practice and explore
- Open the interactive lesson, with a mini quiz.
- Take the Data Structures quiz.
- Explore the Binary Search Tree visualizer: Insert keys and run traversals.
How to study this topic
- Read the explanation above and restate the definition in your own words.
- Open the interactive lesson and answer its mini quiz.
- Read the common pitfall, then write a short example that avoids it.
- Check your understanding in the Data Structures quiz, and revisit the topic if you miss a question.
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Related topics
- Binary Trees (Data Structures)
- Binary Search Trees (Data Structures)
- Trees (Data Structures)
- AVL Trees (Data Structures)
- Minimum Spanning Tree (Algorithms)