{ "id": "2005.06699", "version": "v1", "published": "2020-05-14T03:13:05.000Z", "updated": "2020-05-14T03:13:05.000Z", "title": "The maximum crossing number of $C_3 \\times C_3$", "authors": [ "Michael Haythorpe", "Alex Newcombe" ], "categories": [ "math.CO" ], "abstract": "We determine that the maximum crossing number of $C_3 \\times C_3$ is 78, which closes the previously best known range of between 68 and 80. The proof uses several techniques which may be useful in determining the maximum crossing number of other graphs.", "revisions": [ { "version": "v1", "updated": "2020-05-14T03:13:05.000Z" } ], "analyses": { "keywords": [ "maximum crossing number", "techniques" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }