VTU Notes | 18CS32 - DATA STRUCTURES AND APPLICATIONS

Sorting and Searching

Module-5

4.9
2018 Scheme | CSE Department

Created by VtuNotes.in
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5 Modules

18CS32 - DATA STRUCTURES AND APPLICATIONS | Module-5 VTU Notes

VTU | 18CS32 | Module - 5

Sorting and Searching Algorithms

This summary provides an overview of sorting algorithms, focusing on Insertion Sort, Radix Sort, and Address Calculation Sort.

Insertion Sort:

Insertion Sort is a simple comparison-based sorting algorithm that builds the final sorted array one element at a time. It repeatedly takes an element from the unsorted part and places it in its correct position within the sorted part of the array. Insertion Sort has an average-case time complexity of O(n^2), making it suitable for small datasets.

Radix Sort:

Radix Sort is a non-comparative sorting algorithm that sorts elements based on their individual digits or characters. It processes the digits or characters from the least significant to the most significant position, using counting or bucket-based mechanisms. Radix Sort has a linear time complexity of O(n * k), where n is the number of elements and k is the average number of digits or characters.

Address Calculation Sort:

Address Calculation Sort is an integer sorting algorithm that works well for small integer ranges. It operates by distributing elements into "buckets" based on their values and then collecting them in order. Address Calculation Sort achieves linear time complexity by directly mapping elements to their sorted positions using an addressing mechanism.

Conclusion:

Sorting algorithms are crucial for arranging data in a specific order, improving search efficiency and data organization. Insertion Sort is a basic yet effective algorithm suitable for small datasets. Radix Sort offers a unique approach for sorting based on digits or characters, while Address Calculation Sort provides efficiency by leveraging direct addressing. Understanding these algorithms equips students with a range of tools to tackle sorting challenges across different scenarios and dataset characteristics.

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