{ "id": "2001.03124", "version": "v1", "published": "2020-01-09T17:34:55.000Z", "updated": "2020-01-09T17:34:55.000Z", "title": "Cops and robbers on $2K_2$-free graphs", "authors": [ "Jérémie Turcotte" ], "categories": [ "math.CO", "cs.DM" ], "abstract": "We prove that the cop number of any $2K_2$-free graph is at most 2, which was previously conjectured by Sivaraman and Testa.", "revisions": [ { "version": "v1", "updated": "2020-01-09T17:34:55.000Z" } ], "analyses": { "subjects": [ "05C57", "05C75", "05C38", "91A43" ], "keywords": [ "free graph", "cop number" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }