Computational Theory Questions Medium
In computational theory, there are several main comparison-based sorting algorithms that are commonly used. These algorithms include:
1. Bubble Sort: Bubble Sort is a simple sorting algorithm that repeatedly compares adjacent elements and swaps them if they are in the wrong order. It continues this process until the entire list is sorted.
2. Insertion Sort: Insertion Sort works by dividing the list into a sorted and an unsorted part. It iterates through the unsorted part, comparing each element with the elements in the sorted part and inserting it into the correct position.
3. Selection Sort: Selection Sort divides the list into a sorted and an unsorted part as well. It repeatedly selects the smallest element from the unsorted part and swaps it with the first element of the unsorted part.
4. Merge Sort: Merge Sort is a divide-and-conquer algorithm that divides the list into smaller sublists, sorts them individually, and then merges them back together to obtain the final sorted list. It uses a recursive approach.
5. Quick Sort: Quick Sort is another divide-and-conquer algorithm that selects a pivot element and partitions the list around the pivot. It then recursively sorts the sublists on either side of the pivot.
6. Heap Sort: Heap Sort uses a binary heap data structure to sort the list. It first builds a max-heap from the list and then repeatedly extracts the maximum element from the heap and places it at the end of the sorted list.
These are some of the main comparison-based sorting algorithms used in computational theory. Each algorithm has its own advantages and disadvantages in terms of time complexity, space complexity, and stability. The choice of which algorithm to use depends on the specific requirements and constraints of the problem at hand.