What are the applications of Depth First Search in graph theory?

What are the applications of Depth First Search in graph theory?

Depth First Search (DFS) is used in various applications such as pathfinding, topological sorting, and cycle detection.

Can you explain how DFS is used in pathfinding?

Sure! In pathfinding, DFS explores all possible paths from a starting node to find a target node, ensuring all routes are considered.

What about its role in topological sorting?

In topological sorting, DFS helps order vertices in a directed acyclic graph, ensuring that for every directed edge from vertex A to B, A comes before B.

Are there any limitations of using DFS?

Yes, DFS can be inefficient for large graphs and may get stuck in deep paths without finding a solution, unlike breadth-first search.

How does DFS compare to other graph traversal methods?

DFS is memory efficient and can be faster in some cases, but it may not find the shortest path like Breadth First Search (BFS) does.