Which of the following sorting algorithms can be used to sort a random linked list with minimum time complexity?Insertion SortQuick SortHeap SortMerge Sort

The best sorting algorithm to sort a random linked list with minimum time complexity is Merge Sort.

Here's why:

1. Insertion Sort: The worst-case time complexity of insertion sort is O(n^2), where n is the number of elements. This is because for each element, it may have to be compared with all the other elements, hence the n^2 complexity.

2. Quick Sort: The worst-case time complexity of quick sort is also O(n^2). However, this case is quite rare, especially if we use the median of three method to choose the pivot. On average, the time complexity is O(n log n), but it's not guaranteed.

3. Heap Sort: Heap sort has a worst-case time complexity of O(n log n). However, it requires random access, so it can't be used for linked lists without significant modifications.

4. Merge Sort: Merge sort is the best choice here. It has a worst-case time complexity of O(n log n) like heap sort, but it works well with linked lists, because it only requires sequential access, not random access. It divides the list into two halves, sorts them separately, and then merges them. This process is repeated recursively.

So, the answer is Merge Sort.