is a simple and intuitive -based sorting algorithm. It works by repeatedly iterating through the list, comparing adjacent s, and ping]] them if they are in the wrong order. This process is done iteratively until the entire list is sorted in .
The of Bubble Sort lies in its simplicity, as it only requires basic and swapping operations. However, this simplicity also leads to its inefficiency when dealing with large datasets. Bubble Sort has a of O(n^2), where "n" represents the number of elements in the list. Additionally, its is O(1) since it utilizes , meaning it does not require any additional .
In terms of performance, Bubble Sort exhibits its when the list is sorted in . In this scenario, the algorithm requires the maximum number of iterations and comparisons to sort the list. Conversely, Bubble Sort performs optimally when the list is already in ascending order, resulting in its .
The of Bubble Sort can be improved through techniques such as checking if any swapping occurred during an iteration. If no swapping is detected, the algorithm can terminate early, as the list is already sorted.
During each iteration, Bubble Sort compares adjacent elements, making it a algorithm. The used in Bubble Sort allows for these comparisons and swapping to occur systematically until the list is sorted.
Bubble Sort is known for its property, which means that when two elements are equal, their relative order remains unchanged after sorting. This stability is important in various applications, where maintaining the order of equal elements is crucial.
Keywords
descending order | data structures | average-case performance | space complexity | [[swap | in-place sorting | bubble sort | optimization | stable sorting | loop | efficiency | worst-case performance | iteration | ascending order | element | best-case performance | comparison | comparison-based sorting | time complexity |
