Deletion of a node from a binary search tree, Data Structure & Algorithms

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The algorithm to delete any node having key from a binary search tree is not simple where as several cases has to be considered.

  • If the node to be deleted contains no sons, then it might be deleted without further adjustment to the tree.
  • If the node to be deleted contains only one subtree, then its only son may be moved up to take its space.
  • The node p to be deleted contain two subtrees, then its inorder successor s have to take its place. The inorder successor could not contain left subtree. Hence, right son of s can be moved up to gain the place of s.

Example: Assume the following cases wherein node 5 have to be deleted.

1. The node to be deleted has no children.

2390_Deletion of a node from a Binary Search Tree.png

3. The node to be deleted contains two children. This case is complicated. The order of the binary tree has to be kept intact.


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