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Given two vertices in a graph s and t, which of the two traversals (BFS and DFS) can be used to find if there is path from s to t?
- a)Only BFS
- b)Only DFS
- c)Both BFS and DFS
- d)Neither BFS nor DFS
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Given two vertices in a graph s and t, which of the two traversals (BF...
We can use both traversals to find if there is a path from s to t.
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Given two vertices in a graph s and t, which of the two traversals (BF...
Explanation:
Both BFS and DFS can be used to find if there is a path from s to t in a graph:
- BFS (Breadth-First Search): BFS explores all the neighboring nodes of a vertex before moving on to the next level. By performing BFS from vertex s, we can check if vertex t is reachable from s. If t is discovered during the BFS traversal, then there exists a path from s to t.
- DFS (Depth-First Search): DFS explores as far as possible along each branch before backtracking. By performing DFS from vertex s, we can check if vertex t is reachable from s. If during the DFS traversal, we encounter vertex t, then there exists a path from s to t.
Both BFS and DFS are traversal algorithms that can be used to explore paths in a graph. Depending on the specific characteristics of the graph and the requirements of the problem, either BFS or DFS may be preferred for finding a path from s to t.
Both BFS and DFS can be used to find if there is a path from s to t in a graph:
- BFS (Breadth-First Search): BFS explores all the neighboring nodes of a vertex before moving on to the next level. By performing BFS from vertex s, we can check if vertex t is reachable from s. If t is discovered during the BFS traversal, then there exists a path from s to t.
- DFS (Depth-First Search): DFS explores as far as possible along each branch before backtracking. By performing DFS from vertex s, we can check if vertex t is reachable from s. If during the DFS traversal, we encounter vertex t, then there exists a path from s to t.
Both BFS and DFS are traversal algorithms that can be used to explore paths in a graph. Depending on the specific characteristics of the graph and the requirements of the problem, either BFS or DFS may be preferred for finding a path from s to t.
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