%0 Journal Article %T Enumeration of chord diagrams %A Andrei Khruzin %J Mathematics %D 2000 %I arXiv %X 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. %U http://arxiv.org/abs/math/0008209v1