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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/83434

    Title: On the existence of k-sun systems
    Authors: Fu, C.-M.;Jhuang, N.-H.;Lin, Y.-L.;Sung, H.-M.
    Contributors: 淡江大學數學學系
    Keywords: Decomposition;Complete graph;Graph decomposition;Graph design;Crown graph;k-sun graph;Cycle system
    Date: 2012-07-06
    Issue Date: 2013-03-19 14:30:23 (UTC+8)
    Publisher: Amsterdam: Elsevier BV * North-Holland
    Abstract: A k-sun graph S(Ck) is obtained from the cycle of length k, Ck, by adding a pendant edge to each vertex of Ck. A k-sun system of order v is a decomposition of the complete graph Kv into k-sun graphs. In this paper, we use a difference method to obtain k-sun systems of all possible orders for k=6,10,14 and 2t where t is a positive integer at least 2. More precisely, we obtain cyclic k-sun systems of odd order and 1-rotational k-sun systems of even order when the order is greater than 4k.
    Relation: Discrete Mathematics 312(12-13), pp.1931-1939
    DOI: 10.1016/j.disc.2012.03.007
    Appears in Collections:[數學學系暨研究所] 期刊論文

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