{ "id": "1205.3253", "version": "v5", "published": "2012-05-15T04:18:35.000Z", "updated": "2013-06-25T01:51:39.000Z", "title": "A different short proof of Brooks' theorem", "authors": [ "Landon Rabern" ], "comment": "added cute Kernel Lemma trick to lift up to (online) list coloring", "categories": [ "math.CO" ], "abstract": "Lov\\'asz gave a short proof of Brooks' theorem by coloring greedily in a good order. We give a different short proof by reducing to the cubic case. Then we show how to extend the result to (online) list coloring via the Kernel Lemma.", "revisions": [ { "version": "v5", "updated": "2013-06-25T01:51:39.000Z" } ], "analyses": { "keywords": [ "short proof", "lovasz gave", "cubic case", "kernel lemma" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.3253R" } } }