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What is the role of Breadth-First Search (BFS) in graph traversal?

Question

What is the role of Breadth-First Search (BFS) in graph traversal?

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Solution

Breadth-First Search (BFS) is a graph traversal algorithm that explores all the vertices of a graph in breadth-first order, i.e., it explores all the vertices at the present depth before moving on to vertices at the next depth level.

Here are the steps involved in BFS for graph traversal:

  1. Start by picking any node, preferably the root if it is a tree. If the graph is unconnected, the starting point does not matter.

  2. Create a queue and enqueue the chosen node into it.

  3. Mark the enqueued node as visited.

  4. Now, start a loop until the queue is empty.

  5. During each iteration, dequeue a node from the queue.

  6. After dequeuing a node, enqueue all its unvisited neighbors into the queue and mark them as visited.

  7. Repeat steps 5 and 6 until the queue is empty.

The BFS algorithm is particularly useful for finding the shortest path in unweighted graphs and for applications that require visiting each node of the graph equally. It is also used in many algorithms including Dijkstra's Algorithm for finding the shortest path, Ford-Fulkerson Algorithm for computing the maximum flow in a graph, and many more.

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