{ "id": "1602.08532", "version": "v1", "published": "2016-02-26T23:55:42.000Z", "updated": "2016-02-26T23:55:42.000Z", "title": "A better lower bound on average degree of 4-list-critical graphs", "authors": [ "Landon Rabern" ], "categories": [ "math.CO" ], "abstract": "This short note proves that every incomplete $k$-list-critical graph has average degree at least $k-1 + \\frac{k-3}{k^2-2k+2}$. This improves the best known bound for $k = 4,5,6$. The same bound holds for online $k$-list-critical graphs.", "revisions": [ { "version": "v1", "updated": "2016-02-26T23:55:42.000Z" } ], "analyses": { "keywords": [ "better lower bound", "average degree", "list-critical graph", "short note" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160208532R" } } }