Design & Analysis of Algorithms - Vol 2 | 16. Insertion in a Search Tree by Abraham | Learn Smarter
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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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Sections

  • 16

    Insertion In A Search Tree

    This section describes the process of inserting a value into a search tree, highlighting its methodology and conditions.

    Learning Practice

  • 16.1

    Basic Insert Operation

    This section covers the process of inserting a value into a search tree, highlighting the techniques applied to maintain order.

    Learning Practice

  • 16.2

    Inserting Duplicate Values

    The section discusses the process of inserting values into a search tree, focusing on handling duplicate values.

    Learning Practice

  • 16.3

    Recursive Insert Case

    This section explains how to perform recursive insertion in a search tree, covering strategies for placing new values while maintaining order.

    Learning Practice

  • 16.2

    Deletion In A Search Tree

    This section focuses on the process of deleting nodes from a search tree, discussing various cases that arise during deletion.

    Learning Practice

  • 16.2.1

    Deleting A Leaf Node

    This section details the process of deleting a leaf node in a search tree, including various scenarios based on the node's characteristics.

    Learning Practice

  • 16.2.2

    Deleting A Node With One Child

    This section explains how to delete a node with one child from a binary search tree, including the relevant cases and procedures.

    Learning Practice

  • 16.2.3

    Deleting A Node With Two Children

    This section discusses the process of deleting a node with two children in a binary search tree, detailing strategies and considerations for maintaining the tree's structure.

    Learning Practice

  • 16.2.4

    Handling Complex Deletions

    This section discusses the methods for inserting and deleting nodes within a search tree, detailing the scenarios for various types of deletions.

    Learning Practice

  • 16.2.5

    Complexity Of Tree Operations

    This section explains tree operations, specifically insertion and deletion, detailing how they maintain the order of elements.

    Learning Practice

References

ch39 part c.pdf

Class Notes

Memorization

What we have learnt

  • Insertion in a binary searc...
  • Deletion of a node in a BST...
  • Maintaining a balanced tree...

Final Test

Revision Tests