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Which algorithm is more memory efficient for deep graphs?

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Question: Which algorithm is more memory efficient for deep graphs?

Options:

  1. BFS
  2. DFS
  3. Both are equal
  4. Neither is efficient

Correct Answer: DFS

Solution: 

DFS is generally more memory efficient for deep graphs because it uses a stack and does not need to store all nodes at the current level like BFS does.

Which algorithm is more memory efficient for deep graphs?

Practice Questions

Q1
Which algorithm is more memory efficient for deep graphs?
  1. BFS
  2. DFS
  3. Both are equal
  4. Neither is efficient

Questions & Step-by-Step Solutions

Which algorithm is more memory efficient for deep graphs?
  • Step 1: Understand what deep graphs are. Deep graphs have many levels or layers of nodes, but not many nodes at each level.
  • Step 2: Learn about the two algorithms: DFS (Depth-First Search) and BFS (Breadth-First Search).
  • Step 3: Know that DFS explores as far down a branch as possible before backtracking, using a stack to remember where to go next.
  • Step 4: Understand that BFS explores all nodes at the current level before moving to the next level, using a queue to keep track of nodes.
  • Step 5: Realize that in deep graphs, BFS can use a lot of memory because it needs to store all nodes at the current level, which can be many if the graph is wide.
  • Step 6: Conclude that DFS is more memory efficient for deep graphs because it only needs to remember the nodes along the current path, not all nodes at the current level.
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