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Breadth-First Search (BFS) and Depth-First Search (DFS) are essential graph traversal algorithms that take different techniques. BFS investigates all neighbor nodes at the current depth level before progressing to deeper nodes, using a queue to control the sequence of investigation. This assures thaRead more
Breadth-First Search (BFS) and Depth-First Search (DFS) are essential graph traversal algorithms that take different techniques. BFS investigates all neighbor nodes at the current depth level before progressing to deeper nodes, using a queue to control the sequence of investigation. This assures that nodes closer to the starting point are visited first, making BFS appropriate for discovering shortest paths in unweighted networks.
In contrast, DFS explores as far as feasible along each branch before retreating, managing the path with a stack (or recursion). It delves extensively into a branch before exploring siblings, making it beneficial for tasks like topological sorting and puzzle solving.
Both techniques are efficient for the majority of real-world applications because their time complexity is O(V + E), where V is the number of vertices and E is the number of edges. But because BFS uses a queue, it usually needs more memory, but DFS can need less RAM depending on how it’s implemented.
Depending on the particular requirements of the situation, BFS or DFS should be chosen. When determining the shortest path or the fewest steps between nodes, BFS is the best option; in contrast, DFS is better suited for problems where depth-first exploration is beneficial or for thoroughly investigating every path.
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