{ "id": "2011.11064", "version": "v1", "published": "2020-11-22T17:17:13.000Z", "updated": "2020-11-22T17:17:13.000Z", "title": "Extremal numbers of cycles revisited", "authors": [ "David Conlon" ], "comment": "3 pages, to appear in Amer. Math. Monthly", "categories": [ "math.CO" ], "abstract": "We give a simple geometric interpretation of an algebraic construction of Wenger that yields $n$-vertex graphs with no cycle of length $4$, $6$ or $10$ and close to the maximum number of edges.", "revisions": [ { "version": "v1", "updated": "2020-11-22T17:17:13.000Z" } ], "analyses": { "keywords": [ "extremal numbers", "simple geometric interpretation", "algebraic construction", "vertex graphs", "maximum number" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }