In a complete binary tree, what is the time complexity of DFS?
Practice Questions
Q1
In a complete binary tree, what is the time complexity of DFS?
O(log n)
O(n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
In a complete binary tree, what is the time complexity of DFS?
Step 1: Understand what a complete binary tree is. A complete binary tree is a type of binary tree where every level, except possibly the last, is completely filled, and all nodes are as far left as possible.
Step 2: Know what DFS (Depth-First Search) is. DFS is an algorithm for traversing or searching tree or graph data structures. It starts at the root and explores as far as possible along each branch before backtracking.
Step 3: Realize that in a complete binary tree, there are 'n' nodes in total. This means that every node will be visited during the DFS traversal.
Step 4: Since DFS visits each node exactly once, the time taken to visit all nodes is proportional to the number of nodes.
Step 5: Therefore, the time complexity of DFS in a complete binary tree is O(n), where 'n' is the number of nodes.
