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
Solution
To perform a Depth First Traversal of the graph, we can follow these steps:
- Create a recursive function that takes the index of node and a visited array.
- Mark the current node as visited and print the node.
- 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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