{ "id": "math/0501269", "version": "v2", "published": "2005-01-18T09:52:34.000Z", "updated": "2005-07-14T13:18:06.000Z", "title": "Asymptotic enumeration and limit laws of planar graphs", "authors": [ "Omer Gimenez", "Marc Noy" ], "comment": "14 pages", "categories": [ "math.CO" ], "abstract": "We show an asymptotic estimate for the number of labelled planar graphs on $n$ vertices. We also find limit laws for the number of edges, the number of connected components, and other parameters in random planar graphs.", "revisions": [ { "version": "v2", "updated": "2005-07-14T13:18:06.000Z" } ], "analyses": { "subjects": [ "05A16", "05C30" ], "keywords": [ "limit laws", "asymptotic enumeration", "random planar graphs", "labelled planar graphs", "asymptotic estimate" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......1269G" } } }