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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/97826


    Title: Constructions and Packings of Bull-Design
    Authors: Fu, Chin-Mei;Lo, Shu-Wen;Huang, Wen-Chung
    Contributors: 淡江大學數學學系
    Keywords: Decompositions;bull-designs;Packings
    Date: 2013
    Issue Date: 2014-04-22 14:36:14 (UTC+8)
    Publisher: Ruse: Hikari Ltd.
    Abstract: A bull-design of order n is a decomposition of the complete graph Kn into bulls. Such systems exist precisely when n ≡ 0,1 (mod 5). The necessary conditions of the existence of bull-designs of λKn are the follows: λ ≡ 0 (mod 5) and n ≡ 0,1 (mod 5), or λ ≡ 0 (mod 5) and for all n. In this paper we showed the necessary conditions are also sufficient, and gave the minimum leave of the packing of the complete graph Kn.
    Relation: International Mathematical Forum 8(6), pp.273-281
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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