{ "id": "1905.02167", "version": "v1", "published": "2019-05-06T17:36:07.000Z", "updated": "2019-05-06T17:36:07.000Z", "title": "Counterexamples to Hedetniemi's conjecture", "authors": [ "Yaroslav Shitov" ], "comment": "3 pages", "categories": [ "math.CO" ], "abstract": "The chromatic number of $G\\times H$ can be smaller than the minimum of the chromatic numbers of finite simple graphs $G$ and $H$.", "revisions": [ { "version": "v1", "updated": "2019-05-06T17:36:07.000Z" } ], "analyses": { "keywords": [ "hedetniemis conjecture", "counterexamples", "chromatic number" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }