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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.
References
Chapter 40 part-B.pdfClass Notes
Memorization
What we have learnt
Final Test
Revision Tests
Term: Leaf Node
Definition: A node that has no children, which can be easily removed during deletion.
Term: Promotion of Children
Definition: The process of moving a child node up to replace a deleted node.
Term: Binary Search Tree (BST)
Definition: 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.
Term: Maximum Value
Definition: 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.
Term: Balancing Trees
Definition: Techniques like AVL trees are used to maintain a balanced height in binary search trees, ensuring efficient operations.