{ "id": "2010.08795", "version": "v1", "published": "2020-10-17T14:19:14.000Z", "updated": "2020-10-17T14:19:14.000Z", "title": "A note on transitive union-closed families", "authors": [ "James Aaronson", "David Ellis", "Imre Leader" ], "comment": "3 pages", "categories": [ "math.CO" ], "abstract": "We show that the Union-Closed Conjecture holds for the union-closed family generated by the cyclic translates of any fixed set.", "revisions": [ { "version": "v1", "updated": "2020-10-17T14:19:14.000Z" } ], "analyses": { "subjects": [ "05D05" ], "keywords": [ "union-closed family", "transitive union-closed families", "union-closed conjecture holds" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }