Question

Given two vertices s and t in a connected graph G, which of the two traversals, BFS and DFS can be used to find if there is a path from s to t?

1) BFS
2) DFS
3) Both BFS and DFS
4) None of the above

Answer 1

3) Both BFS and DFS

Answer 2

Both BFS and DFS can be used to find if there is a path from s to t in a connected graph G.

Step-by-step explanation:

Both BFS (Breadth-First Search) and DFS (Depth-First Search) can be used to find if there is a path from vertex s to vertex t in a connected graph G.

1) BFS can be used to find the shortest path from s to t. It starts from s and explores all neighboring vertices at the same level before moving on to the next level. If t is reached during the traversal, a path from s to t exists.

2) DFS can be used to find any path from s to t. It explores as far as possible along each branch before backtracking. If t is visited during the traversal, a path from s to t exists.

Therefore, the correct answer is 3) Both BFS and DFS.