{ "id": "1904.12273", "version": "v1", "published": "2019-04-28T07:58:02.000Z", "updated": "2019-04-28T07:58:02.000Z", "title": "Detecting a long odd hole", "authors": [ "Maria Chudnovsky", "Alex Scott", "Paul Seymour" ], "categories": [ "math.CO" ], "abstract": "For each integer $t\\ge 5$, we give a polynomial-time algorithm to test whether a graph contains an induced cycle with length at least $t$ and odd.", "revisions": [ { "version": "v1", "updated": "2019-04-28T07:58:02.000Z" } ], "analyses": { "keywords": [ "long odd hole", "polynomial-time algorithm", "graph contains", "induced cycle" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }