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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/102845

    Title: Decomposition of Complete graphs into Triangles and Claws
    Authors: Fu, Chin-Mei;Lin, Yuan-Lung;Lo, Shu-Wen;Hsu, Yu-Fong
    Contributors: 淡江大學數學學系
    Keywords: Graph decomposition;Complete graph;Cycle;Star
    Date: 2014
    Issue Date: 2015-05-06 16:51:09 (UTC+8)
    Publisher: Taipei: Mathematical Society of the Republic of China
    Abstract: Let Kn be a complete graph with n vertices, Ck denote a cycle of length k, and Sk denote a star with k edges. If k=3, then we call C3 a triangle and S3 a claw. In this paper, we show that for any nonnegative integers p and q and any positive integer n, there exists a decomposition of Kn into p copies of C3 and q copies of S3 if and only if 3(p+q)=(n2), q≠1,2 if n is odd, q=1 if n=4, and q≥max{3,⌈n4⌉} if n is even and n≥6.
    Relation: Taiwanese Journal of Mathematics 18(5), pp.1563-1581
    Appears in Collections:[數學學系暨研究所] 期刊論文

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