# Check Useful Details On Bubble Sort With Relevant Examples

Do I need to learn a bubble sort algorithm or just an algorithm? Yes, you do. If you are a computer science student, and you want to define the working for your programming, then it is possible with the help of an algorithm. Apart from CS students, you need to learn algorithms (as the flow diagrams) to show your work processes flow chart.

How?

Let’s check it!

Facebook (the favourite application of the young generation). The flow chart can easily use for representing the friends on FB, other friends of your friends, and more. In this way, you can use algorithms and flow charts to represent the overall friends’ you have made.

Let’s take one more example of it.

You might have searched the word in the dictionary using the alphabetic sequence. Suppose you have to search the word ‘you’ first you will search ‘y’ word’s page, then go with the ‘o’ and finally the alphabet ‘u’. (This search basically works on the algorithm called ‘Binary Search’).

So, today, we will be going to discuss an algorithm called Bubble Sort. So, let’s begin with the topic.

## What is bubble sort?

It is a sorting algorithm, which works for swapping the adjacent items. This is only applicable while the condition is of wrong orders. It means if your list or the array has the elements in an ordered manner, then it will arrange it in ascending order.

Bubble sort is included in the list of O(n^2) algorithms. This is the reason why this algorithm considers to be inefficient to sort the large volume of data. But still, the bubble sort is adaptive and stable.

## Being an inefficient method, is bubble sort still in use?

Yes, it is! As I have already mentioned, Bubble sort is not a good option to sort the large data volume. But actually, it is useful for introducing the sorting algorithms’ concepts.

Basically, in computer graphics, bubble sorting algorithms are used to detect small errors. Moreover, it can use for fixing errors that have linear complexity (2n).

For example, this algorithm is applicable for polygon filling algorithms. Here, the bounding lines can sort using the X coordinates at the particular scan line. This line increments the value of Y for changing the intersection point of the two lines.

Therefore, overall, we can say that the bubble sort algorithms are still useful for introducing the sorting algorithms.

## Let’s take an example to understand the bubble sort algorithm

Consider an unsorted array. Here, bubble sort takes O(n^2) time. That is why we keep it short and clear.

Bubble sort begins with the first two items and compares them for checking which one item is greater.

Here, you will see that 33 is greater than the number 14. Therefore, it is at the sorted place. Now, let’s compare 33 with the next number that is 27.

Now, here you will see that 27 is smaller than the number 33. Now, these values will be swapped.

This array will now look like this:

In the next step, we will compare 33 with 35. Again, you can see that both are already in the sorted position.

Then, we will move to the other step where two values, 35 and 10, are given.

As you know, if 10 is smaller than the value 35, they will not sort.

Now, we will swap the values. And you can see that we have already reached the array’s end. After the iteration, the array will seems to be:

For more precision, we will now show how the array looks after the iteration. This will look like this after completing the second iteration:

Now, you can see that a value will move at the end of the array after the iteration.

Once you find that there is no need for swapping, the bubble sort will stop working, and the complete array will be sorted.

Now, we check the few practical aspects of the bubble sorting algorithm.

## What would be the algorithm for bubble sorting?

Here, we need to suppose that a list is an array of n elements. Now, you need to swap the function of the given array elements.

begin BubbleSort(list)

for all item of the given list

if list[i] > list[i+1]

swap(list[i], list[i+1])

end if

end for

return list

end BubbleSort

Let’s take an example (in Python) of it to understand it in a better way:

```# Bubble sort algorithm in Python

def bubbleSort(arr):

# loop for accessing each array element
for a in range(len(arr)):

# loop for comparing array elements
for b in range(0, len(arr) - a - 1):

# change > (greater than) to < (less than)
#to sort in descending order
if arr[b] > arr[b + 1]:

# swap the elements if elements
# are not in the intended order
temp = arr[b]
arr[b] = arr[b+1]
arr[b+1] = temp

x = [-1, 35, 0, 15, -10]

bubbleSort(x)

print('The Sorted Array in Ascending Order:')
print(x)
```

Output:

The Sorted Array in Ascending Order:

[-10, -1, 0, 15, 35]

## Facts About Bubble Sort Algorithms

• Average and Worst-Case Time Complexity: O(n*n). The worst-case happens in the case of reverse sort.
• Best Case Time Complexity: O(n). The best case happens when the array is already sorted.
• Sorting In Place: Yes
• Boundary Cases: Bubble sort accepts minimum time (Order of n) when the items are sorted.
• Auxiliary Space: O(1)
• Stable: Yes

## Conclusion

If you want to sort the large data volume, then it would be better not to use a bubble sort algorithm. Instead, you can use merge sort, heapsort, or quicksort algorithms. Apart from this, Bubble sorting can be the best option for giving a quick start to the search algorithms. Above, we have mentioned all the necessary details about the bubble sorting algorithm with relevant and practical examples.

If you have any doubts and are unable to sort the list or array assignments, then use our live chat option. Our experts will provide you with instant support for your query. Do not hesitate; just connect with us to get easy to understand solutions.