Design & Analysis of Algorithms - Vol 1 | 13. Merge Sort by Abraham | Learn Smarter
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13. Merge Sort

Merge sort is an efficient sorting algorithm that uses a divide-and-conquer approach by recursively splitting arrays into halves, sorting each half, and then merging the sorted halves. This method significantly reduces the time complexity compared to simpler algorithms like selection sort and insertion sort, making it suitable for larger arrays. The merging step is crucial as it combines the two sorted halves into a fully sorted array.

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Sections

  • 13.1

    Merge Sort

    Merge Sort is a more efficient sorting algorithm than selection and insertion sort, utilizing a divide-and-conquer strategy.

    Learning Practice

  • 13.1.1

    Introduction To Merge Sort

    Merge Sort is an efficient sorting algorithm that divides an array into two halves, sorts each half, and merges them back together.

    Learning Practice

  • 13.1.2

    Combining Sorted Lists

    This section introduces the concept of merging sorted lists as a fundamental part of the merge sort algorithm, which efficiently sorts larger arrays by breaking them into manageable parts.

    Learning Practice

  • 13.1.3

    Example Of Merging Sorted Lists

    The section explains the merge sort algorithm, focusing on the process of merging two sorted lists into a single sorted list.

    Learning Practice

  • 13.1.4

    Recursive Strategy Of Merge Sort

    Merge sort employs a recursive strategy to sort an array by dividing it into halves, sorting each half independently, and merging the sorted halves.

    Learning Practice

  • 13.1.5

    Formalizing Merge Sort Algorithm

    This section presents the Merge Sort Algorithm, an efficient sorting technique, by breaking down arrays into smaller parts, sorting them individually, and then merging them.

    Learning Practice

  • 13.2

    Iterative Merge Function

    This section introduces the iterative merge function as part of the merge sort algorithm, explaining how to efficiently combine two sorted arrays into a single sorted array.

    Learning Practice

  • 13.2.1

    Description Of Iterative Merge Process

    This section introduces the iterative merge process as a crucial step in the Merge Sort algorithm, highlighting how to combine two sorted lists into one sorted list efficiently.

    Learning Practice

  • 13.2.2

    Implementation Of Merge Sort

    Merge Sort is an efficient sorting algorithm that divides an array into two halves, sorts them separately, and merges them back together in sorted order.

    Learning Practice

  • 13.3

    Recursive Merge Sort

    The Recursive Merge Sort algorithm efficiently sorts arrays by breaking them down into smaller sub-arrays, sorting each part, and merging the sorted sections.

    Learning Practice

  • 13.3.1

    Algorithm To Sort Using Merge Sort

    Merge sort is an efficient algorithm that sorts an array by dividing it into halves, sorting each half, and merging them back together.

    Learning Practice

  • 13.3.2

    Base Case For Recursive Merge Sort

    Recursive merge sort improves sorting efficiency by dividing an array into halves and merging sorted halves successfully.

    Learning Practice

  • 13.4

    Complexity Analysis

    This section explains the Merge Sort algorithm, its recursive structure, and its efficiency compared to simpler sorting algorithms.

    Learning Practice

  • 13.4.1

    Analysis Of Merge Sort Complexity

    This section discusses the merge sort algorithm, its efficiency, and the method of combining sorted arrays.

    Learning Practice

References

ch13.pdf

Class Notes

Memorization

What we have learnt

  • Merge sort works by breakin...
  • The merge function efficien...
  • The algorithm can handle ar...

Final Test

Revision Tests