Binary search tree. Removing a node

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Presentation transcript:

Binary search tree. Removing a node

There are three cases ◦Case 1: Node to be deleted has no children. ◦Case 2: Node to be deleted has one child. ◦Case 3: Node to be deleted has two children.

◦Case 1: Node to be deleted has no children

◦Case 1: Node to be deleted has no children

◦Case 2: Node to be deleted has one child.

◦Case 2: Node to be deleted has one child.

◦Case 3: Node to be deleted has two children

◦Case 3: Node to be deleted has two children

◦Case 3: Node to be deleted has two children Find minimum element in the right subtree of the node to be removed. In current example it is 19

◦Case 3: Node to be deleted has two children Replace 12 with 19. Notice, that only values are replaced, not nodes. Now we have two nodes with the same value.

◦Case 3: Node to be deleted has two children Remove 19 from the left subtree.