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Knowledge
The chapter presents binary search trees (BSTs) as an efficient data structure for maintaining sorted data dynamically. It highlights the organization of nodes, traversal methods, and operations such as searching, inserting, and deleting elements within a BST. The chapter emphasizes the recursive nature of these operations and the methods to find minimum and maximum values in the tree.
Sections
References
Chapter 40 part-A.pdfClass Notes
Memorization
What we have learnt
- A binary search tree organi...
- The in-order traversal of a...
- Both minimum and maximum va...
Final Test
Revision Tests
What we have learnt
- A binary search tree organizes data for efficient insertion, deletion, and search operations.
- The in-order traversal of a BST provides a sorted list of its elements.
- Both minimum and maximum values in a BST can be found by traversing the leftmost and rightmost paths respectively.
Key Concepts
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Term: Binary Search Tree (BST)
Definition: A tree data structure where each node has a maximum of two children, with the left child's value being less than the parent's value and the right child's value being greater.
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Term: InOrder Traversal
Definition: A traversal method that visits the left subtree, the node, and then the right subtree, resulting in a sorted order of elements.
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Term: Insertion in BST
Definition: The process of adding a new element to a binary search tree in accordance with its properties, ensuring that duplicates are not allowed.
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Term: Searching in BST
Definition: Finding an element in a binary search tree by comparing it with the current node's value and recursively searching in the left or right subtree.
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Term: Minimum and Maximum Values
Definition: The smallest and largest values in a binary search tree can be found by traversing the leftmost and rightmost paths respectively.