What is the time complexity of post-order traversal of a binary tree?
Practice Questions
Q1
What is the time complexity of post-order traversal of a binary tree?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the time complexity of post-order traversal of a binary tree?
Step 1: Understand what post-order traversal means. In post-order traversal, we visit the left subtree, then the right subtree, and finally the root node.
Step 2: Recognize that a binary tree consists of nodes. Each node can be visited during the traversal.
Step 3: Realize that during post-order traversal, we visit each node exactly once.
Step 4: Count the total number of nodes in the binary tree, which we denote as 'n'.
Step 5: Since we visit each of the 'n' nodes once, the total time taken for the traversal is proportional to 'n'.
Step 6: Conclude that the time complexity of post-order traversal is O(n).
