{ "id": "0802.1293", "version": "v1", "published": "2008-02-10T00:36:56.000Z", "updated": "2008-02-10T00:36:56.000Z", "title": "A poset structure on quasifibonacci partitions", "authors": [ "Hansheng Diao" ], "comment": "16 pages, 6 figures", "categories": [ "math.CO" ], "abstract": "In this paper, we study partitions of positive integers into distinct quasifibonacci numbers. A digraph and poset structure is constructed on the set of such partitions. Furthermore, we discuss the symmetric and recursive relations between these posets. Finally, we prove a strong generalization of Robbins' result on the coefficients of a quasifibonacci power series.", "revisions": [ { "version": "v1", "updated": "2008-02-10T00:36:56.000Z" } ], "analyses": { "keywords": [ "poset structure", "quasifibonacci partitions", "distinct quasifibonacci numbers", "quasifibonacci power series", "strong generalization" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0802.1293D" } } }