Design & Analysis of Algorithms - Vol 1 | 11. Selection Sort by Abraham | Learn Smarter
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11. Selection Sort

11. Selection Sort

Sorting is crucial for efficient searching and statistical analysis, where sorted data allows for fast retrieval of information and easier subsequent calculations. Selection sort is presented as a basic sorting algorithm that iteratively selects the smallest elements and organizes them in order, either through creating a new list or swapping elements in place. The algorithm has a time complexity of O(n²), making it less efficient for larger datasets.

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  1. 11.1
    Selection Sort

    Selection Sort is a simple sorting algorithm that sorts an array by...

  2. 11.1.1
    Motivation For Sorting

    Sorting is essential for efficient searching and organizing data, enhancing...

  3. 11.1.2
    Strategy For Sorting

    This section covers Selection Sort, a fundamental sorting technique that...

  4. 11.1.3
    Illustration Of Selection Sort

    Selection sort is a simple sorting algorithm that repeatedly selects the...

  5. 11.1.4
    In-Place Selection Sort

    In-place selection sort is an efficient algorithm for sorting arrays by...

  6. 11.1.5
    Iterative Selection Sort Algorithm

    The section introduces the selection sort algorithm, explaining its...

  7. 11.1.6
    Time Complexity Of Selection Sort

    This section covers the selection sort algorithm, its motivation,...

  8. 11.1.7
    Recursive Selection Sort

    Recursive selection sort is a sorting optimization that improves upon basic...

  9. 11.1.8
    Recursive Time Complexity

    This section discusses the concept of selection sort, detailing both its...

What we have learnt

  • Sorting data is essential for faster searching and statistical analysis.
  • Selection sort works by repeatedly finding the minimum element and placing it in the correct position.
  • The algorithm can be implemented both iteratively and recursively, both resulting in a time complexity of O(n²).

Key Concepts

-- Selection Sort
A sorting algorithm that sorts an array by repeatedly selecting the minimum element from the unsorted segment and moving it to the sorted segment.
-- Time Complexity
A computational complexity that describes the amount of time an algorithm takes to complete as a function of the length of the input.
-- Linear Time and Logarithmic Time
Linear time refers to an algorithm's time that increases linearly with the input size, while logarithmic time increases logarithmically, making it faster for large datasets.

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