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

  • 11.1

    Selection Sort

    Selection Sort is a simple sorting algorithm that sorts an array by repeatedly selecting the smallest (or largest) element and moving it to a new position.

  • 11.1.1

    Motivation For Sorting

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

  • 11.1.2

    Strategy For Sorting

    This section covers Selection Sort, a fundamental sorting technique that organizes elements in an array by repeatedly identifying the smallest (or largest) element and moving it to its correct position in the sorted list.

  • 11.1.3

    Illustration Of Selection Sort

    Selection sort is a simple sorting algorithm that repeatedly selects the smallest element from the unsorted portion of the list and moves it to the beginning.

  • 11.1.4

    In-Place Selection Sort

    In-place selection sort is an efficient algorithm for sorting arrays by selecting the smallest element and moving it to its correct position within the same array.

  • 11.1.5

    Iterative Selection Sort Algorithm

    The section introduces the selection sort algorithm, explaining its iterative approach to sorting arrays by repeatedly selecting the minimum element.

  • 11.1.6

    Time Complexity Of Selection Sort

    This section covers the selection sort algorithm, its motivation, implementation, and the analysis of its time complexity.

  • 11.1.7

    Recursive Selection Sort

    Recursive selection sort is a sorting optimization that improves upon basic selection sort by employing a recursive approach to finding and placing the minimum elements.

  • 11.1.8

    Recursive Time Complexity

    This section discusses the concept of selection sort, detailing both its iterative and recursive implementations and examining their time complexities.

References

ch11.pdf

Class Notes

Memorization

What we have learnt

  • Sorting data is essential f...
  • Selection sort works by rep...
  • The algorithm can be implem...

Final Test

Revision Tests