Simplest bubble sort algorithm implemented in Java.

bubbleSort.java

public static int[] bubbleSort(int[] array) {
    for (int i = 0; i < array.length - 1; i++) {
        for (int j = 0; j < array.length - i - 1; j++) {
            /* if a pair of adjacent elements has the wrong order it swaps them */
            if (array[j] > array[j + 1]) {
                int temp = array[j];
                array[j] = array[j + 1];
                array[j + 1] = temp;
            }
        }
    }
 
    return array;
}