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    Title: From steiner triple systems to 3-sun systems
    Authors: Fu, Chin-Mei;Jhuang, Nan-Hua;Lin, Yuan-Lung;Sung, Hsiao-Ming
    Contributors: 淡江大學數學學系
    Keywords: Steiner triple system;3-Sun;3-Sun system;Cyclic;Decomposition
    Date: 2012-04
    Issue Date: 2013-03-19 14:13:23 (UTC+8)
    Publisher: Taipei: Mathematical Society of the Republic of China
    Abstract: An n-sun is the graph with 2n vertices consisting of an n-cycle with n pendent edges which form a 1-factor. In this paper we show that the necessary and sufficient conditions for the decomposition of complete tripartite graphs with at least two partite sets having the same size into 3-suns and give another construction to get a 3-sun system of order n, for n≡0,1,4,9 (mod 12). In the construction we metamorphose a Steiner triple system into a 3-sun system. We then embed a cyclic Steiner triple system of order n into a 3-sun system of order 2n−1, for n≡1 (mod 6).
    Relation: Taiwanese Journal of Mathematics 16(2), pp.531-543
    DOI: 
    Appears in Collections:[數學學系暨研究所] 期刊論文

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