Choosing the right data structure can make sorting algorithms a lot more complicated. The performance of these algorithms depends on what data structure you use.

Here are a couple of comparisons:

1. Array vs. Linked List:

   • Arrays let you access data quickly using an index.
   • Linked lists, on the other hand, have more overhead, which can slow things down.

2. In-place vs. Out-of-place:

   • In-place algorithms, like QuickSort, save space.
   • However, if you're not careful with your pivot selection, they can slow down to the worst-case time of $O(n^2)$.

To tackle these issues, you can choose adaptive algorithms. These are special algorithms that work better with certain data structures or types of input.

In the end, understanding these trade-offs is really important for getting the best performance from your sorting methods.