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
Question
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
Solution
The role of Depth-First Search (DFS) in graph traversal is B) Visits nodes depth-wise until no more unvisited nodes are left.
Here's a step-by-step explanation:
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DFS is an algorithm for traversing or searching tree or graph data structures.
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It starts at the root (in case of a graph, an arbitrary node) and explores as far as possible along each branch before backtracking.
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So, the main idea of DFS is to go as deep into the graph as possible, which means it visits nodes depth-wise until no more unvisited nodes are left.
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If there are any unvisited nodes left, the algorithm selects one of them and repeats the process, creating a loop that continues until all nodes have been visited.
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Therefore, the role of DFS in graph traversal is to visit nodes depth-wise until no more unvisited nodes are left. It does not ensure the shortest path between nodes, calculate the average distance between nodes, or find the maximum flow in a graph.
Similar Questions
What is depth-first search (DFS)?Question 3Answera.A uniformed combinatorial search algorithm that expands nodes in a random orderb.A uniformed combinatorial search algorithm that expands nodes in order of their depthc.A uniformed combinatorial search algorithm that expands nodes in order of their distance from the rootd.A uniformed combinatorial search algorithm that expands nodes in order of their breadth
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
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.
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.
In a depth-first search (DFS) traversal of a graph, which data structure is used to store visited vertices?StackQueueHeapHash table
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