What is the time complexity of deleting a node in a binary tree?

That depends on how you're doing the deletion. The most common way involves finding the successor of the node, then replacing the node with that successor. This can be done in O(h), where h is the height of the tree.In the worst case this is O(n), but in a balanced tree is worst-case O(lg n).

1, Nice and succinct. – Jeffrey Greenham Feb 8 at 17:24.

Most of the complexity is searching for the node. Once it has been found—as long as the parent node is retained—it is only a few more assignments to delete the node. So it is a constant order.

That should never happen in a BST. At worst, it should be max O(h) for search and delete, where 'h' is the height of the tree. See this helpful article.

O(h) can be O(n) in a pathologically degenerate tree. – templatetypedef Jan 3 at 6:19.

Given a simple unsorted list order, compute the complexity of following operations. I) Insert an item ii) Search an item (Best case, Worst case) iii) Delete an item.

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