What happens if you apply DFS on a graph with cycles without tracking visited no

Practice Questions

Q1
What happens if you apply DFS on a graph with cycles without tracking visited nodes?
  1. It will terminate successfully.
  2. It will enter an infinite loop.
  3. It will throw an error.
  4. It will only visit some nodes.

Questions & Step-by-Step Solutions

What happens if you apply DFS on a graph with cycles without tracking visited nodes?
  • Step 1: Understand what DFS (Depth-First Search) is. It is a way to explore all the nodes in a graph by going as deep as possible along each branch before backtracking.
  • Step 2: Recognize that a graph can have cycles, which means there are paths that can lead back to the same node.
  • Step 3: If you start DFS from a node and it has a cycle, you will visit that node again when you reach the cycle.
  • Step 4: Without tracking visited nodes, DFS will not know that it has already been to that node.
  • Step 5: As a result, DFS will keep going back to the same node over and over again, creating an infinite loop.
  • Step 6: This means the algorithm will never finish and will keep running forever.
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