What is the space complexity of Depth-First Search?
An example of an AI chatbot conversation about DFS space complexity.
What is the space complexity of Depth-First Search?
The space complexity of Depth-First Search (DFS) is O(h), where h is the maximum depth of the search tree.
Can you explain why it's O(h)?
Sure! In DFS, the space is primarily used by the stack to keep track of the nodes. In the worst case, this stack can grow to the maximum depth of the tree.
What about the iterative version of DFS?
The iterative version of DFS also has a space complexity of O(h) since it uses an explicit stack to manage the nodes.
How does this compare to Breadth-First Search?
Breadth-First Search (BFS) has a space complexity of O(w), where w is the maximum width of the tree, which can be larger than h in some cases.
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