{ "id": "1710.00647", "version": "v1", "published": "2017-09-25T00:36:19.000Z", "updated": "2017-09-25T00:36:19.000Z", "title": "Constructions of almost resolvable $k$-cycle systems of order $2k+1$ with $k\\equiv 2\\pmod 4$", "authors": [ "L. Wang", "H. Cao" ], "comment": "cycle system; almost resolvable cycle system. arXiv admin note: substantial text overlap with arXiv:1706.05958", "categories": [ "math.CO" ], "abstract": "In this paper, we almost completely solve the existence of almost resolvable $k$-cycle systems of order $2kt+1$ for any $k \\equiv 2 \\pmod 4$. Thus we have partially solved an open problem given by Lindner, Meszka, and Rosa.", "revisions": [ { "version": "v1", "updated": "2017-09-25T00:36:19.000Z" } ], "analyses": { "keywords": [ "cycle systems", "constructions", "resolvable" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }