Which of the Given Sorting Method is Stable?

What are Stable Sorting Algorithms?

In computer science, a sorting algorithm is considered stable if elements with equal values appear in the same order in the output as they do in the input. This is an important property in many applications of sorting. In order to determine which of the given sorting methods is stable, it is important to understand the concept of stability.

Types of Sorting Algorithms

There are various sorting algorithms that can be used to sort elements of a given array. These algorithms can be categorized into two broad categories: comparison-based sorting algorithms and non-comparison-based sorting algorithms. Comparison-based algorithms compare elements of the array and arrange them in the desired order. Examples of comparison-based sorting algorithms include Bubble Sort, Merge Sort, Quick Sort, Selection Sort, Insertion Sort and Heap Sort.

Stability of Sorting Algorithms

Not all sorting algorithms are stable. Stability of a sorting algorithm can depend on the implementation of the algorithm. In general, comparison-based sorting algorithms can be either stable or unstable. Bubble Sort, Merge Sort, Insertion Sort, and Heap Sort are all stable sorting algorithms. On the other hand, Quick Sort and Selection Sort are unstable sorting algorithms.

Conclusion

In conclusion, when comparing the given sorting methods, it is important to consider the stability of the algorithm. Bubble Sort, Merge Sort, Insertion Sort, and Heap Sort are all stable sorting algorithms, while Quick Sort and Selection Sort are unstable sorting algorithms.