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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.

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    $\begingroup$ Maybe you should rather read carefully the original articles of Fomin and Zelevinsky, and come back here later. $\endgroup$ – F. C. Aug 31 '16 at 7:28
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Yes, it's true for any two acyclic quivers with the same underlying diagram having different orientations. See lectures notes on cluster algebras by Robert Marsh.

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