{ "id": "1909.02247", "version": "v1", "published": "2019-09-05T07:49:32.000Z", "updated": "2019-09-05T07:49:32.000Z", "title": "On Validity of Reed Conjecture for Classes of Graphs with Two Forbidden Subgraphs", "authors": [ "Medha Dhurandhar" ], "comment": "7 pages", "categories": [ "math.CO" ], "abstract": "Reed Conjecture is open for more than 20 years now. Here we prove that Reed Conjecture is valid for (1) {P4UnionK1, Kite}-free graphs (2) {Chair, Kite}-free graphs (3) {K2UnionK2complement , H}-free graphs and (4) {2K2, M}-free graphs where H and M are graphs on six vertices each. Reed conjecture is still open in general.", "revisions": [ { "version": "v1", "updated": "2019-09-05T07:49:32.000Z" } ], "analyses": { "subjects": [ "05C15" ], "keywords": [ "reed conjecture", "forbidden subgraphs", "k2unionk2complement" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }