%0 Journal Article %T Coloured quivers of type A and the cell-growth problem %A Hermund Andr¨¦ Torkildsen %J Mathematics %D 2010 %I arXiv %X We use a geometric description of $m$-cluster categories of Dynkin type $A$ to count the the number of coloured quivers in the $m$-mutation class of quivers of Dynkin type $A$. This is related to angulations of polygons and the cell-growth problem. %U http://arxiv.org/abs/1004.4512v1