{ "id": "1402.4603", "version": "v1", "published": "2014-02-19T09:40:02.000Z", "updated": "2014-02-19T09:40:02.000Z", "title": "Resolvable 3-star designs", "authors": [ "Selda Kucukcifci", "Giovanni Lo faro", "Salvatore Milici", "Antoinette Tripodi" ], "comment": "arXiv admin note: text overlap with arXiv:1310.7403", "categories": [ "math.CO" ], "abstract": "Let Kv be the complete graph of order v and F be a set of 1-factors of Kv. In this article we study the existence of a resolvable decomposition of Kv - F into 3-stars when F has the minimum number of 1-factors. We completely solve the case in which F has the minimum number of 1- factors, with the possible exception of v in {40, 44, 52, 76, 92, 100, 280, 284, 328, 332, 428, 472, 476, 572}.", "revisions": [ { "version": "v1", "updated": "2014-02-19T09:40:02.000Z" } ], "analyses": { "subjects": [ "05B05" ], "keywords": [ "minimum number", "complete graph", "resolvable decomposition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.4603K" } } }