{ "id": "math/0310379", "version": "v1", "published": "2003-10-23T20:55:37.000Z", "updated": "2003-10-23T20:55:37.000Z", "title": "Independent sets in certain classes of (almost) regular graphs", "authors": [ "Alexander Burstein", "Sergey Kitaev", "Toufik Mansour" ], "comment": "11 pages, 5 figures", "categories": [ "math.CO" ], "abstract": "We enumerate the independent sets of several classes of regular and almost regular graphs and compute the corresponding generating functions. We also note the relations between these graphs and other combinatorial objects and, in some cases, construct the corresponding bijections.", "revisions": [ { "version": "v1", "updated": "2003-10-23T20:55:37.000Z" } ], "analyses": { "subjects": [ "05A05", "05A15", "30B70", "42C05" ], "keywords": [ "regular graphs", "independent sets", "combinatorial objects", "corresponding generating functions" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....10379B" } } }