16. Selection Sort - Data Structures and Algorithms in Python
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16. Selection Sort

16. Selection Sort

Sorting algorithms are crucial for efficient searching, particularly when using a binary search on sorted data. This chapter presents selection sort, demonstrating its step-by-step mechanism of repeatedly selecting the minimal element and placing it at the beginning of the unsorted portion. The selection sort algorithm is intuitive, although it can be inefficient for large datasets due to its O(n^2) time complexity.

18 sections

Sections

Navigate through the learning materials and practice exercises.

  1. 16.1
    Programming, Data Structures And Algorithms In Python

    This section introduces the concept of sorting algorithms, specifically...

  2. 15.1.1
    Selection Sort

    Selection Sort is an intuitive and simple sorting algorithm that arranges...

  3. 16.2
    Introduction To Sorting

    This section introduces sorting algorithms, specifically Selection Sort,...

  4. 16.2.1
    Physical Task Of Sorting

    This section introduces the concept of sorting sequences, focusing on the...

  5. 16.2.2
    Selection Sort Strategy

    Selection sort is an intuitive sorting algorithm where the smallest element...

  6. 16.3
    Execution Of Selection Sort

    Selection Sort is an intuitive sorting algorithm that iteratively selects...

  7. 16.3.1
    First Steps Of Selection Sort

    This section introduces Selection Sort, a sorting technique that organizes...

  8. 16.3.2
    Building Sorted Sequence

    The section introduces Selection Sort, a simple sorting algorithm that...

  9. 16.4
    Modified Selection Sort Approach

    The Modified Selection Sort Approach efficiently sorts a list by repeatedly...

  10. 16.4.1
    Swapping Elements

    The section explores the concept of selection sort, emphasizing how elements...

  11. 16.4.2
    Iterative Process

    The iterative process of sorting allows us to efficiently identify the...

  12. 16.5
    Time Complexity Of Selection Sort

    This section discusses the concept of selection sort and its time...

  13. 16.5.1
    Calculating Time Complexity

    This section discusses how sorting algorithms, particularly Selection Sort,...

  14. 16.5.2
    Big O Notation

    Big O Notation provides a mathematical way to express the time complexity of...

  15. 16.5.3
    Practical Limits Of Selection Sort

    This section covers the selection sort algorithm, its implementation, and...

  16. 16.6
    Testing Selection Sort In Python

    This section explores the Selection Sort algorithm, its implementation in...

  17. 16.6.1
    Running Python Code

    This section introduces the concept of sorting using the Selection Sort...

  18. 16.6.2
    Performance Observations

    This section discusses the selection sort algorithm, highlighting its...

What we have learnt

  • Sorting improves search efficiencies and allows for determining median values and generating frequency tables.
  • Selection sort operates by selecting the smallest element from the unsorted part of the array and swapping it with the first unsorted element.
  • The time complexity for selection sort is O(n^2), making it unsuitable for very large datasets.

Key Concepts

-- Selection Sort
An algorithm that sorts an array by repeatedly selecting the smallest element from the unsorted portion and moving it to the beginning.
-- Time Complexity
A computational complexity that describes the amount of time it takes to run an algorithm as a function of the length of the input.
-- Binary Search
A search algorithm that finds the position of a target value within a sorted array, halving the search interval with each step.
-- Median
The middle value in a sorted list of numbers, with half the values larger and half smaller.
-- Big O Notation
A mathematical notation used to describe the upper bound of the time complexity of an algorithm in terms of input size.

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