What is the space complexity of recursive tree traversals?

What is the space complexity of recursive tree traversals?

Step 1: Understand what space complexity means. It refers to the amount of memory space required by an algorithm as a function of the input size.
Step 2: Recognize that recursive tree traversals use the call stack to keep track of function calls.
Step 3: Identify that the maximum depth of the call stack is determined by the height of the tree (h).
Step 4: Realize that for a balanced tree, the height (h) is approximately log(n), where n is the number of nodes.
Step 5: Understand that in the worst case, if the tree is skewed (like a linked list), the height (h) can be equal to n.
Step 6: Conclude that the space complexity for recursive tree traversals is O(h), which can be O(log n) for balanced trees and O(n) for skewed trees.

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