Which of the following options are true regarding DFS and BFS traversals in the given graph starting with vertex 1? Both DFS and BFS will always visit the vertices in the same order. DFS order of traversal need not be the same as the BFS order of traversal for the give graph.
Question
Which of the following options are true regarding DFS and BFS traversals in the given graph starting with vertex 1? Both DFS and BFS will always visit the vertices in the same order. DFS order of traversal need not be the same as the BFS order of traversal for the give graph.
Solution
The statement "DFS order of traversal need not be the same as the BFS order of traversal for the given graph" is true.
Depth-First Search (DFS) and Breadth-First Search (BFS) are two different algorithms used for graph traversal, and they follow different strategies.
DFS explores as far as possible along each branch before backtracking. So, the order of traversal in DFS depends on the depth of the nodes in the graph.
On the other hand, BFS explores all the vertices at the present depth before going to the next level. So, the order of traversal in BFS depends on the breadth or level of the nodes in the graph.
Therefore, the order of traversal in DFS and BFS can be different for the same graph.
However, the statement "Both DFS and BFS will always visit the vertices in the same order" is false. As explained above, DFS and BFS follow different strategies for graph traversal, so they may not always visit the vertices in the same order.
Similar Questions
Compare and contrast depth-first search (DFS) and breadth-first search (BFS) algorithms in graph traversal. Discuss their applications and scenarios where one might be preferred over the other.
Which of the following represents a correct order of visit during a breadth first search traversal of the given graph starting from vertex 1? 1, 2, 3, 4, 5. 1, 4, 5, 2, 3. 1, 5, 4, 3, 5. 1, 4, 5, 2, 3.
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