教師資料查詢 | 類別: 期刊論文 | 教師: 高金美KAU CHIN-MEI (瀏覽個人網頁)

標題：From steiner triple systems to 3-sun systems
學年100
學期2
出版（發表）日期2012/04/01
作品名稱From steiner triple systems to 3-sun systems
作品名稱（其他語言）
著者Fu, Chin-Mei; Jhuang, Nan-Hua; Lin, Yuan-Lung; Sung, Hsiao-Ming
單位淡江大學數學學系
出版者Taipei: Mathematical Society of the Republic of China
著錄名稱、卷期、頁數Taiwanese Journal of Mathematics 16(2), pp.531-543
摘要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).
關鍵字Steiner triple system;3-Sun;3-Sun system;Cyclic;Decomposition
語言英文(美國)
ISSN1027-5487;2224-6851
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