{ "id": "math/9712201", "version": "v1", "published": "1997-11-26T16:47:22.000Z", "updated": "1997-11-26T16:47:22.000Z", "title": "Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis", "authors": [ "Mihai Ciucu", "Markus Fulmek", "Christian Krattenthaler" ], "comment": "21 pages, AmS-LaTeX, uses TeXDraw Extended Abstract, submitted to FPSAC'98", "categories": [ "math.CO" ], "abstract": "We compute the number of rhombus tilings of a hexagon with sides $N,M,N,N,M,N$, which contain a fixed rhombus on the symmetry axis. A special case solves a problem posed by Jim Propp.", "revisions": [ { "version": "v1", "updated": "1997-11-26T16:47:22.000Z" } ], "analyses": { "subjects": [ "05A15", "05A19", "05B45", "52C20" ], "keywords": [ "rhombus tilings", "symmetry axis", "fixed rhombus", "enumeration" ], "note": { "typesetting": "LaTeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997math.....12201C" } } }