Consider the following sequence of nodes for the undirected graph given below.a b e f d g ca b e f c g da d g e b c fa d b c g e fA Depth First Search (DFS) is started at node a. The nodes are listed in the order they are first visited. Which of the above is (are) possible output(s)?Marks : 1Negative Marks : 0Answer here2, 3, and 4 only1 and 3 only2 and 3 only1, 2, and 3
Question
Consider the following sequence of nodes for the undirected graph given below.a b e f d g ca b e f c g da d g e b c fa d b c g e fA Depth First Search (DFS) is started at node a. The nodes are listed in the order they are first visited. Which of the above is (are) possible output(s)?Marks : 1Negative Marks : 0Answer here2, 3, and 4 only1 and 3 only2 and 3 only1, 2, and 3
Solution
Based on the given sequence of nodes, a Depth First Search (DFS) is started at node a. The nodes are listed in the order they are first visited. We need to determine which of the given options could be the possible output(s).
To solve this, let's analyze the given sequence of nodes:
a b e f d g c a b e f c g d a d g e b c f a d b c g e f
Starting at node a, we can see that in all four sequences, node a is the first node visited. Therefore, option 1 is a possible output.
Next, let's look at the second node visited in each sequence:
b in sequences 1, 2, and 3 d in sequence 4
Since node b is visited second in sequences 1, 2, and 3, and node d is visited second in sequence 4, we can conclude that options 2 and 3 are possible outputs.
Finally, let's consider the third node visited in each sequence:
e in sequences 1, 2, and 3 g in sequences 1, 2, and 4 f in sequences 1, 3, and 4 c in sequences 2 and 4
Based on the above analysis, we can see that options 1, 2, and 3 include the correct sequence of nodes visited in the given DFS starting from node a. Therefore, the correct answer is option 1, 2, and 3 only.
Similar Questions
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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.
Depth-First Search (DFS)Implement Depth-First Search (DFS) for a given undirected graph. Print the vertices in the order they are visited.Constraints:NAExample:Sample Input:4 40 10 21 22 3Sample Output:DFS starting from vertex 0: 0 1 2 3 Explanation:Input Format:The first line contains two integers, V (number of vertices) and E (number of edges).The next E lines contain two integers each, u and v, representing an edge between vertices u and v.Output Format:Print the vertices in the order they are visited using DFS starting from vertex 0.
n Depth First Search, how many times a node is visited?Marks : 1Negative Marks : 0Answer hereTwiceThriceEquivalent to number of indegree of the nodeOnce
Consider the following directed graph: A->B B->D D->F A->C C->E C->B Which of the following represents a breadth-first traversal of the above graph, when starting at node 'a'? Group of answer choices a, b, c, d, e, f a, b, d, f, c, e a, c, e, b, d, f BFS will not work on this graph
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