For example, a query like "user {moviesWatchedByUser {usersWhoWatchedMovie {moviesWatchedByUser {usersWhoWatchedMovie ..." is allowed by GraphQL and will generate output with size exponential in the input size.
You can also do "{a1: expensiveOperation, a2: expensiveOperation, a3: expensiveOperation, ..." and trigger expensiveOperation an arbitrary number of times (for each item in the list you apply that to).
By using a sequence of fragments that include the next fragment more than once, it looks like you can trigger expensiveOperation an exponential number of times.
It's not clear if there is a way to prevent all this without severely impacting usabilty (by warping the schema design and adding GraphQL limits to handle this) or reliability (by enforcing hardcoded low resource usage limits).
Otherwise, it should be possible to apply throttling to (for example) expensiveOperation in the same way that you would a RESTful API at the moment.