{ "id": "1108.3249", "version": "v3", "published": "2011-08-16T14:26:37.000Z", "updated": "2013-06-21T10:05:18.000Z", "title": "A short note on the Stanley-Wilf Conjecture for permutations on multisets", "authors": [ "Marie-Louise Bruner" ], "comment": "The contents of this paper have been integrated in the more comprehensive paper \"On restricted permutations on regular multisets\", http://arxiv.org/abs/1306.4781", "categories": [ "math.CO" ], "abstract": "The concept of pattern avoidance respectively containment in permutations can be extended to permutations on multisets in a straightforward way. In this note we present a direct proof of the already known fact that the well-known Stanley-Wilf Conjecture, stating that the number of permutations avoiding a given pattern does not grow faster than exponentially, also holds for permutations on multisets.", "revisions": [ { "version": "v3", "updated": "2013-06-21T10:05:18.000Z" } ], "analyses": { "subjects": [ "05A05" ], "keywords": [ "permutations", "short note", "well-known stanley-wilf conjecture", "grow faster", "direct proof" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.3249B" } } }