{ "id": "2006.07677", "version": "v1", "published": "2020-06-13T16:37:14.000Z", "updated": "2020-06-13T16:37:14.000Z", "title": "Total Coloring for some classes of Circulant graphs", "authors": [ "Prajnanaswaroopa S", "Geetha J", "Somasundaram K" ], "comment": "11 pages", "categories": [ "math.CO", "cs.DM", "cs.DS" ], "abstract": "The Total coloring conjecture states that any simple graph G with maximum degree D can be totally colored with at most D+2 colors. In this paper, we have obtained the total chromatic number for some classes of Cayley graphs.", "revisions": [ { "version": "v1", "updated": "2020-06-13T16:37:14.000Z" } ], "analyses": { "subjects": [ "05C15", "G.2.2", "G.2.1" ], "keywords": [ "circulant graphs", "total coloring conjecture states", "total chromatic number", "maximum degree", "cayley graphs" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }