{ "id": "2310.04265", "version": "v1", "published": "2023-10-06T14:11:26.000Z", "updated": "2023-10-06T14:11:26.000Z", "title": "Clique number of tournaments", "authors": [ "Pierre Aboulker", "Guillaume Aubian", "Pierre Charbit", "Raul Lopes" ], "categories": [ "math.CO", "cs.DM" ], "abstract": "We introduce the notion of clique number of a tournament and investigate its relation with the dichromatic number. In particular, it permits defining $\\dic$-bounded classes of tournaments, which is the paper's main topic.", "revisions": [ { "version": "v1", "updated": "2023-10-06T14:11:26.000Z" } ], "analyses": { "subjects": [ "05C20" ], "keywords": [ "clique number", "tournament", "papers main topic", "dichromatic number" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }