{ "id": "2105.12184", "version": "v1", "published": "2021-05-25T19:37:53.000Z", "updated": "2021-05-25T19:37:53.000Z", "title": "Big Ramsey degrees and forbidden cycles", "authors": [ "Martin Balko", "David Chodounský", "Jan Hubička", "Matěj Konečný", "Jaroslav Nešetřil", "Lluís Vena" ], "comment": "6 pages, extended abstract accepted to EUROCOMB 2021", "categories": [ "math.CO", "cs.DM", "math.LO" ], "abstract": "Using the Carlson-Simpson theorem, we give a new general condition for a structure in a finite binary relational language to have finite big Ramsey degrees", "revisions": [ { "version": "v1", "updated": "2021-05-25T19:37:53.000Z" } ], "analyses": { "subjects": [ "05D10", "05C05", "05C65", "05C55", "G.2.2", "F.4.1" ], "keywords": [ "forbidden cycles", "finite binary relational language", "finite big ramsey degrees", "general condition", "carlson-simpson theorem" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }