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 en_US
ISSN 1027-5487 2224-6851
期刊性質 國內
收錄於 SCI
產學合作
通訊作者
審稿制度 是
國別 TWN
公開徵稿
出版型式 ,紙本
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