{ "id": "1908.10463", "version": "v1", "published": "2019-08-27T20:53:28.000Z", "updated": "2019-08-27T20:53:28.000Z", "title": "Induced subgraphs of powers of oriented cycles", "authors": [ "Akaki Tikaradze" ], "comment": "2 pages, preliminary draft, all comments welcome", "categories": [ "math.CO" ], "abstract": "By using a $q$-analogue of the \"magic\" matrix introduced by H.Huang in his elegant solution of the sensitivity conjecture, we give a direct generalization of his result, replacing a hypercube graph by a Cartesian power of a directed $l$-cycle.", "revisions": [ { "version": "v1", "updated": "2019-08-27T20:53:28.000Z" } ], "analyses": { "keywords": [ "induced subgraphs", "oriented cycles", "elegant solution", "sensitivity conjecture", "direct generalization" ], "note": { "typesetting": "TeX", "pages": 2, "language": "en", "license": "arXiv", "status": "editable" } } }