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Perform a Depth First Traversal of the graph for undirected graphYou are given a connected undirected graph. Perform a Depth First Traversal of the graph.Note: Use a recursive approach to find the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph.Your task:You don't need to read input or print anything. Your task is to complete the function dfsOfGraph() which takes the integer V denoting the number of vertices and adjacency list as input parameters and returns a list containing the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph.Expected Time Complexity: O(V + E)Expected Auxiliary Space: O(V)Constraints:1 ≤ V, E ≤ 104Sample input5 4 0 1 0 2 0 3 2 4Sample outputoutput=0 3 2 4 1

Question

Perform a Depth First Traversal of the graph for undirected graphYou are given a connected undirected graph. Perform a Depth First Traversal of the graph.Note: Use a recursive approach to find the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph.Your task:You don't need to read input or print anything. Your task is to complete the function dfsOfGraph() which takes the integer V denoting the number of vertices and adjacency list as input parameters and returns a list containing the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph.Expected Time Complexity: O(V + E)Expected Auxiliary Space: O(V)Constraints:1 ≤ V, E ≤ 104Sample input5 4 0 1 0 2 0 3 2 4Sample outputoutput=0 3 2 4 1

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Solution

To perform a Depth First Traversal of the graph, we can follow these steps:

  1. Create a recursive function that takes the index of node and a visited array.
  2. Mark the current node as visited and print the node.
  3. Traverse all the adjacent and unmarked nodes and call the recursive function for those nodes.

Here is the Python code for the above approach:

Similar Questions

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.

What is the role of Depth-First Search (DFS) in graph traversal?A) Ensures shortest path between nodesB) Visits nodes depth-wise until no more unvisited nodes are leftC) Calculates the average distance between nodesD) Finds the maximum flow in a graph

The running time complexity of DFS (Depth-first search) traversal algorithm is a. O(logV*logE), where V is the number of vertices and E is the number of edges b. O(logV+logE), where V is the number of vertices and E is the number of edges c. O(V+E), where V is the number of vertices and E is the number of edges d. O(V*E), where V is the number of vertices and E is the number of edges

In a depth-first search (DFS) traversal of a graph, which data structure is used to store visited vertices?StackQueueHeapHash table

Consider the following undirected graph: A-B B-D D-F F-C A-C C-E C-B Which one of the following sequences is not a depth-first traversal of the above graph, when starting at node 'a'? Group of answer choices a, c, d, f, b, e a, b, c, e, f, d a, b, d, f, c, e a, c, f, d, b, e

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