What are the practical differences between BFS and DFS?
BFS (Breadth-First Search) explores all neighbors at the present depth before moving on to nodes at the next depth level, while DFS (Depth-First Search) explores as far as possible along each branch before backtracking. This leads to different use cases.
Can you give me an example of when to use BFS?
Sure! BFS is ideal for finding the shortest path in unweighted graphs, like in social networks or routing algorithms.
And when would DFS be more appropriate?
DFS is useful for tasks like topological sorting, solving puzzles with a single solution, or exploring all possible configurations, such as in mazes.
What are the space complexities of both algorithms?
BFS has a space complexity of O(b^d), where b is the branching factor and d is the depth of the shallowest solution. DFS has a space complexity of O(d), where d is the maximum depth of the search tree.
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