What is the space complexity of DFS using recursion?

₹0.0

Question: What is the space complexity of DFS using recursion?

Options:

Correct Answer: O(V)

Solution:

The space complexity of DFS using recursion is O(V) due to the call stack that can go as deep as the number of vertices in the worst case.

What is the space complexity of DFS using recursion?

What is the space complexity of DFS using recursion?

Step 1: Understand what DFS (Depth-First Search) is. It is an algorithm used to explore nodes and edges of a graph.
Step 2: Recognize that DFS can be implemented using recursion, which means it calls itself to explore deeper into the graph.
Step 3: Know that each time a function calls itself, it uses some memory on the call stack.
Step 4: In the worst case, the depth of the recursion can go as deep as the number of vertices (V) in the graph.
Step 5: Therefore, the maximum amount of memory used by the call stack is proportional to the number of vertices.
Step 6: Conclude that the space complexity of DFS using recursion is O(V).

No concepts available.