{ "id": "0811.2704", "version": "v1", "published": "2008-11-17T13:34:19.000Z", "updated": "2008-11-17T13:34:19.000Z", "title": "Cyclic colorings of plane graphs with independent faces", "authors": [ "Jernej Azarija", "Daniel Král'", "Rok Erman", "Matjaz Krnc", "Ladislav Stacho" ], "categories": [ "math.CO" ], "abstract": "Let G be a plane graph with maximum face size D. If all faces of G with size four or more are vertex disjoint, then G has a cyclic coloring with D+1 colors, i.e., a coloring such that all vertices incident with the same face receive distinct colors.", "revisions": [ { "version": "v1", "updated": "2008-11-17T13:34:19.000Z" } ], "analyses": { "subjects": [ "05C15", "05C10" ], "keywords": [ "plane graph", "independent faces", "cyclic coloring", "face receive distinct colors", "vertex disjoint" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0811.2704A" } } }