Coloured quivers of type A and the cell-growth problem

Abstract

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.

17 pages, 12 figures

References in corpus (2)

• On triangulated orbit categories
• Counting cluster-tilted algebras of type $A_n$

Cited by in corpus (1)

• An introduction to higher cluster categories