In a recent discussion Mariano Suárez-Alvarez told us, that if we are aware of users, who delete their questions after receiving an answer, we should bring them to the attention of mods. (IIRC the OP can only delete a question if no of the answers have been upvoted.)
In an older discussion about the same problem Willie Wong said that:
While 10K users can see all deleted posts, the posts are only presented in a nice summary form in the 10K tools panel if they are "deleted by committee". Deleted by owner posts don't show up there. This makes it hard for users to "patrol" for such behaviour. Also, one can always use the free-form flag field.
and
nothing easy that I know of (and there's also a difference between what diamond mods and 10K can see/search). Hence my previous comment.
The fact that self-deleted questions are not listed anywhere was mentioned in this discussion, too.
So I want to ask you this:
- Should we try to find self-deleted questions which could be a sign of cheating? Does this problem appear often enough to warrant additional work for users/moderators?
- If yes, how this could be done?
I was not able to come up with anything more intelligent than downloading links in the form http://math.stackexchange.com/questions/XXXXXX using wget and then checking which of them could not have been downloaded. I've done a test where I found out that in 1000 posts I've tried I have found 14 deleted questions. (The reasons why I was doing this experiment were twofold: I wanted to see whether this method is feasible. And I also wanted to have some data about the proportion of deleted questions among all questions.)
Maybe someone who is more familiar with SE data explorer can come up with a better method how to find such questions.
Feature request mentioned in Jonas Meyer's answer would be another possibility.