Figure out what it is that Alice and Bob desperately need from each other, and introduce that - let's call it Charlie - as its own separate POM. Then, have Alice and Bob depend on Charlie.
The big thing to note here is that circular dependencies arise often due to certain modules encompassing more than it needs to. Given that Alice needs Bob and Bob needs Alice, there is something that could be split off from within those two modules and introduced as a third one.
This is probably not the most attractive solution, but it's the cleanest. You then introduce more modularity into your system, and some more opportunities for module refactoring.
