{ "id": "0912.4240", "version": "v1", "published": "2009-12-21T19:29:38.000Z", "updated": "2009-12-21T19:29:38.000Z", "title": "A Survey of Alternating Permutations", "authors": [ "Richard P. Stanley" ], "comment": "32 pages, 7 figures", "categories": [ "math.CO" ], "abstract": "This survey of alternating permutations and Euler numbers includes refinements of Euler numbers, other occurrences of Euler numbers, longest alternating subsequences, umbral enumeration of classes of alternating permutations, and the cd-index of the symmetric group.", "revisions": [ { "version": "v1", "updated": "2009-12-21T19:29:38.000Z" } ], "analyses": { "subjects": [ "05A05" ], "keywords": [ "alternating permutations", "euler numbers", "symmetric group", "umbral enumeration", "longest alternating subsequences" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0912.4240S" } } }