40. Search trees - Part B
The chapter discusses the intricacies of deletion in binary search trees, detailing various scenarios based on the structure of the node being deleted. It outlines the processes required when deleting leaf nodes, nodes with one child, and nodes with two children. Implementation aspects are covered, including the necessary functions to maintain tree integrity and the importance of balancing trees for efficient operations such as insertion, deletion, and search.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Deletion in binary search trees requires different methods based on the node's children.
- Nodes can be deleted by promoting children or by replacing them with the maximum value from their left subtree.
- Maintaining balance in a binary search tree ensures efficient operations.
Key Concepts
- -- Leaf Node
- A node that has no children, which can be easily removed during deletion.
- -- Promotion of Children
- The process of moving a child node up to replace a deleted node.
- -- Binary Search Tree (BST)
- A tree data structure where each node has at most two children; the left child is less than the node and the right child is greater.
- -- Maximum Value
- In the context of deletion, the largest value in the left subtree of a node, used to fill the vacancy left by a deleted node.
- -- Balancing Trees
- Techniques like AVL trees are used to maintain a balanced height in binary search trees, ensuring efficient operations.
Additional Learning Materials
Supplementary resources to enhance your learning experience.