The Cyclic Sieving Phenomenon for non-crossing forests

Mathematics – Combinatorics

Scientific paper

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12 pages, 6 figures

Scientific paper

In this paper we prove that the set of non-crossing forests together with a
cyclic group acting on it by rotation and a natural q-analogue of the formula
for their number exhibits the cyclic sieving phenomenon, as conjectured by Alan
Guo.

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