Given two orientations $Q, Q'$ of a Dyinkin diagram. Is it always true that after a sequence of mutations, $Q$ becomes $Q'$? Are the some references about this? Thank you very much.



Mutation equivalence of quivers
Yes, it's true for any two acyclic quivers with the same underlying diagram having different orientations. See [lectures notes on cluster algebras](http://bookzz.org/book/2324891/6e1fab) by Robert Marsh.


