%0 Journal Article %T Cluster-tilted algebras and slices %A Ibrahim Assem %A Thomas Bruestle %A Ralf Schiffler %J Mathematics %D 2007 %I arXiv %X We give a criterion allowing to verify whether or not two tilted algebras have the same relation-extension (thus correspond to the same cluster-tilted algebra). This criterion is in terms of a combinatorial configuration in the Auslander-Reiten quiver of the cluster-tilted algebra, which we call local slice. %U http://arxiv.org/abs/0707.0038v2