{ "id": "1507.04088", "version": "v1", "published": "2015-07-15T05:26:11.000Z", "updated": "2015-07-15T05:26:11.000Z", "title": "A lower bound on minimal number of colors for links", "authors": [ "Kazuhiro Ichihara", "Eri Matsudo" ], "comment": "7 pages", "categories": [ "math.GT" ], "abstract": "We show that the minimal number of colors for all effective $n$-colorings of a link with non-zero determinant is at least $1+\\log_2 n$.", "revisions": [ { "version": "v1", "updated": "2015-07-15T05:26:11.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "minimal number", "lower bound", "non-zero determinant" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }