40. Search trees - Part A - Data Structures and Algorithms in Python
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40. Search trees - Part A

40. Search trees - Part A

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.

6 sections

Sections

Navigate through the learning materials and practice exercises.

  1. 40.1
    Search Trees

    This section covers binary search trees, a data structure that maintains...

  2. 40.1.1
    Overview Of Binary Search Trees

    This section introduces Binary Search Trees (BSTs), a data structure that...

  3. 40.1.2
    Tree Structure And Representation

    This section discusses binary search trees as a dynamic data structure that...

  4. 40.1.3
    Inorder Traversal

    Inorder traversal is a method of traversing a binary search tree that visits...

  5. 40.1.4
    Finding Minimum And Maximum Values

    This section explores binary search trees (BSTs), focusing on how to...

  6. 40.1.5
    Insert Operation

    This section introduces binary search trees, a data structure useful for...

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

-- Binary Search Tree (BST)
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.
-- InOrder Traversal
A traversal method that visits the left subtree, the node, and then the right subtree, resulting in a sorted order of elements.
-- Insertion in BST
The process of adding a new element to a binary search tree in accordance with its properties, ensuring that duplicates are not allowed.
-- Searching in BST
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.
-- Minimum and Maximum Values
The smallest and largest values in a binary search tree can be found by traversing the leftmost and rightmost paths respectively.

Additional Learning Materials

Supplementary resources to enhance your learning experience.