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We classify the Auslander-Reiten components of the bounded derived categoryof \Lambda, where {\Lambda} is a cluster-tilted of type \~A. The main tool isthe combinatoric description of the indecomposable complexes in the boundedhomotopy category via homotopy strings and homotopy bands.

The Auslander-Reiten components of the bounded derived category for a cluster-tilted algebra of type \~A