The number of elements in the mutation class of a quiver of type $D_n$
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We show that the number of quivers in the mutation class of a quiver of Dynkin type $D_n$ is given by $\sum_{d|n} ϕ(n/d)\binom{2d}{d}/(2n)$ for $n \geq 5$. To obtain this formula, we give a correspondence between the quivers in the mutation class and certain rooted trees.
20 pages,minor changes, grammatical corrections and layout
20 pages,minor changes, grammatical corrections and layout