Which statement best describes DFS use?

Which statement best describes DFS use?

• A. Exploring as deep as possible to discover paths and topological ordering.
• B. Visiting each node exactly once.
• C. Always yields the shortest path.
• D. Requires a queue data structure.

Answer: (A)

Depth-first search explores by going as deep as possible along a path before backtracking. That deep, path-focused approach makes it especially good at tracing routes from one node to another and at producing an ordering of nodes that respects dependencies, such as a topological sort in a directed acyclic graph. You follow one branch until you can’t go further, then backtrack to explore other branches, which is exactly how you uncover complete paths and finalize an order that ensures all prerequisites come before dependent tasks. DFS doesn’t guarantee the shortest path between two nodes—that’s a property BFS provides in unweighted graphs. And while a traversal often uses a visited set to avoid repeated visits, the defining use of DFS is this deep, backtracking exploration, typically implemented with a stack (or recursion), not a queue.

Depth-first search explores by going as deep as possible along a path before backtracking. That deep, path-focused approach makes it especially good at tracing routes from one node to another and at producing an ordering of nodes that respects dependencies, such as a topological sort in a directed acyclic graph. You follow one branch until you can’t go further, then backtrack to explore other branches, which is exactly how you uncover complete paths and finalize an order that ensures all prerequisites come before dependent tasks.

DFS doesn’t guarantee the shortest path between two nodes—that’s a property BFS provides in unweighted graphs. And while a traversal often uses a visited set to avoid repeated visits, the defining use of DFS is this deep, backtracking exploration, typically implemented with a stack (or recursion), not a queue.