What is the space complexity of Depth-First Search (DFS)?
An example of an AI chatbot conversation about the space complexity of Depth-First Search (DFS).
What is the space complexity of Depth-First Search (DFS)?
The space complexity of DFS is O(h), where h is the maximum height of the recursion stack.
Can you explain why it's O(h)?
Sure! In DFS, the maximum space used is determined by the height of the tree or graph being traversed.
What happens in the worst case?
In the worst case, for a completely unbalanced tree, the space complexity can reach O(n), where n is the number of nodes.
How does it compare to Breadth-First Search (BFS)?
BFS has a space complexity of O(w), where w is the maximum width of the tree, which can be larger than O(h) in some cases.
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