Which algorithm is used to find the connected components in an undirected graph?A) Kruskal'sB) Prim'sC) Depth-First Search (DFS)D) Breadth-First Search (BFS)
Question
Which algorithm is used to find the connected components in an undirected graph?A) Kruskal'sB) Prim'sC) Depth-First Search (DFS)D) Breadth-First Search (BFS)
Solution
The algorithm used to find the connected components in an undirected graph is C) Depth-First Search (DFS).
Here's a step-by-step explanation:
- Start at any node in the graph.
- Mark the node as visited.
- Visit all of the node's unvisited neighbors and mark them as visited.
- Repeat step 3 for each of the visited neighbors.
- Continue this process until all nodes in the component are visited.
- If there are still unvisited nodes in the graph, go to one of them and repeat the process from step 2. Each time this step is performed, a new connected component is identified.
- The process ends when all nodes in the graph have been visited. At this point, all connected components of the graph have been identified.
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