Geodesic
Combinatorial model for the cluster categories of type $E$
Journal of Algebraic Combinatorics, Tome 41 (2015) no. 4, pp. 1023-1054.

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In this paper, we give a geometric-combinatorial description of the cluster categories of type $E$. In particular, we give an explicit geometric description of all cluster-tilting objects in the cluster category of type $E_6$. The model we propose here arises from combining two polygons, and it generalizes the description of the cluster category of type $A$ and $D$.
Classification : 05E15, 18E30
Keywords: cluster categories, type $E$, triangulated Calabi-Yau categories, polygon dissection, cluster algebra, Auslander-Reiten quiver 
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     author = {Lamberti, Lisa},
     title = {Combinatorial model for the cluster categories of type $E$},
     journal = {Journal of Algebraic Combinatorics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2015__41_4_a6/}
}
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Lamberti, Lisa. Combinatorial model for the cluster categories of type $E$. Journal of Algebraic Combinatorics, Tome 41 (2015) no. 4, pp. 1023-1054. http://geodesic.mathdoc.fr/item/JAC_2015__41_4_a6/