{ "id": "1105.1639", "version": "v1", "published": "2011-05-09T11:40:32.000Z", "updated": "2011-05-09T11:40:32.000Z", "title": "List (d,1)-total labelling of graphs embedded in surfaces", "authors": [ "Yong Yu", "Xin Zhang", "Guizhen Liu" ], "comment": "6 pages", "categories": [ "math.CO", "cs.DM" ], "abstract": "The (d,1)-total labelling of graphs was introduced by Havet and Yu. In this paper, we consider the list version of (d,1)-total labelling of graphs. Let G be a graph embedded in a surface with Euler characteristic $\\epsilon$ whose maximum degree $\\Delta(G)$ is sufficiently large. We prove that the (d,1)-total choosability $C_{d,1}^T(G)$ of $G$ is at most $\\Delta(G)+2d$.", "revisions": [ { "version": "v1", "updated": "2011-05-09T11:40:32.000Z" } ], "analyses": { "subjects": [ "05C15" ], "keywords": [ "euler characteristic", "list version", "maximum degree" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.1639Y" } } }