There is no specific way on how you can find out who deleted you on Facebook. Although there are many applications which claim that they can track who added, followed, unfollowed, and deleted you on Facebook, I don’t recommend you download those applications because they are not real and some of the applications also contain malicious malware that can steal your personal information.
The easiest way for you to find out who deleted you on Facebook is to just check a specific profile. If you can still see that you’re friends with that person, then that means that he or she has not deleted you. However, if you see “Add friend”, then that just means that the person already deleted you on their list of friends.