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What is the time complexity to delete the root of a minimum-level BST with n nodes?...

What is the time complexity to delete the root of a minimum-level BST with n nodes? Explain.

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Solution:

BST stands for binary search tree.

The time complexity of deleting the root of minimum level BST with n nodes is O(log n).

Deletion of any node in BST is an iterative process and it involves the below given two steps:

  • First step is getting the root node.
  • The next step is to pick one of the child elements and replacing the child nodes.

Repeating the above two steps until we reach on the leaf node.

Thus, time complexity for getting a root node is O(n).

Time complexity for getting a child node is O(n)

Repeating the above process till we reach the leaf node.

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