{ "id": "0812.4091", "version": "v3", "published": "2008-12-22T04:49:05.000Z", "updated": "2011-08-29T14:42:01.000Z", "title": "Bijections on two variations of noncrossing partitions", "authors": [ "Jang Soo Kim" ], "comment": "10 pages, 9 figures, final version", "journal": "Discrete Math. 311 (2011) 1057-1063", "categories": [ "math.CO" ], "abstract": "We find bijections on 2-distant noncrossing partitions, 12312-avoiding partitions, 3-Motzkin paths, UH-free Schr{\\\"o}der paths and Schr{\\\"o}der paths without peaks at even height. We also give a direct bijection between 2-distant noncrossing partitions and 12312-avoiding partitions.", "revisions": [ { "version": "v3", "updated": "2011-08-29T14:42:01.000Z" } ], "analyses": { "subjects": [ "05A18", "05A15" ], "keywords": [ "noncrossing partitions", "variations", "direct bijection" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0812.4091K" } } }