16. Insertion in a Search Tree
The chapter discusses the operations involved in binary search trees, focusing on the methods for inserting and deleting nodes while maintaining the tree's order. It covers the logical flow of searching for the position to insert a new value, how to handle duplicates, and the mechanics of deleting a node, particularly when it has zero, one, or two children. Finally, it emphasizes the importance of maintaining the tree's balance for efficient operations.
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What we have learnt
- Insertion in a binary search tree (BST) requires finding the correct position based on the value comparisons.
- Deletion of a node in a BST requires different strategies depending on whether the node has zero, one, or two children.
- Maintaining a balanced tree is crucial for efficient search, insert, and delete operations.
Key Concepts
- -- Binary Search Tree (BST)
- A binary tree where each node has a value greater than all the values in its left subtree and less than those in its right subtree.
- -- Node Insertion
- The process of adding a new node while ensuring the tree remains sorted.
- -- Node Deletion
- The process of removing a node and restructuring the tree to maintain its properties.
- -- Predecessor
- The maximum node value from the left subtree of a node, used in the deletion process.
Additional Learning Materials
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