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Enumeration of chord diagrams

Andrei Khruzin
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Abstract

We determine the number of nonequivalent chord diagrams of order $n$ under the action of two groups, $C_{2n}$, a cyclic group of order $2n$, and $D_{2n}$, a dihedral group of order $4n$. Asymptotic formulas are also established.

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Andrei Khruzin. 2000-08-28. Enumeration of chord diagrams. https://arxiv.org/abs/math/0008209

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