{ "id": "2009.05691", "version": "v1", "published": "2020-09-12T00:40:42.000Z", "updated": "2020-09-12T00:40:42.000Z", "title": "Detecting a long even hole", "authors": [ "Linda Cook", "Paul Seymour" ], "comment": "34 pages", "categories": [ "math.CO" ], "abstract": "For each integer $\\ell \\geq 4$, we give a polynomial-time algorithm to test whether a graph contains an induced cycle with length at least $\\ell$ and even", "revisions": [ { "version": "v1", "updated": "2020-09-12T00:40:42.000Z" } ], "analyses": { "keywords": [ "polynomial-time algorithm", "graph contains", "induced cycle" ], "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable" } } }