What is the time complexity of a level order traversal of a binary tree?

Practice Questions

Q1
What is the time complexity of a level order traversal of a binary tree?
  1. O(n)
  2. O(log n)
  3. O(n log n)
  4. O(1)

Questions & Step-by-Step Solutions

What is the time complexity of a level order traversal of a binary tree?
  • Step 1: Understand what level order traversal means. It is a way to visit all the nodes in a binary tree level by level, starting from the root.
  • Step 2: Realize that during level order traversal, we visit each node in the tree exactly once.
  • Step 3: Count the total number of nodes in the binary tree. Let's call this number 'n'.
  • Step 4: Since we visit each of the 'n' nodes once, the total time taken for the traversal is proportional to 'n'.
  • Step 5: Conclude that the time complexity of level order traversal is O(n), where n is the number of nodes in the tree.
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