期刊論文
| 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 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/83430 ) |