{ "id": "math/0008209", "version": "v1", "published": "2000-08-28T18:08:43.000Z", "updated": "2000-08-28T18:08:43.000Z", "title": "Enumeration of chord diagrams", "authors": [ "Andrei Khruzin" ], "comment": "10 pages, Latex, uses PSTricks", "categories": [ "math.CO", "math.QA" ], "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.", "revisions": [ { "version": "v1", "updated": "2000-08-28T18:08:43.000Z" } ], "analyses": { "subjects": [ "05A15", "05C25" ], "keywords": [ "enumeration", "nonequivalent chord diagrams", "cyclic group", "dihedral group" ], "note": { "typesetting": "LaTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......8209K" } } }