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What is the space complexity of DFS using recursion?

Practice Questions

Q1
What is the space complexity of DFS using recursion?
  1. O(V)
  2. O(E)
  3. O(V + E)
  4. O(1)

Questions & Step-by-Step Solutions

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).
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