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?
It will terminate successfully.
It will enter an infinite loop.
It will throw an error.
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.