| On the existence of k-sun systems | |
|---|---|
| 學年 | 100 |
| 學期 | 2 |
| 出版（發表）日期 | 2012-07-06 |
| 作品名稱 | On the existence of k-sun systems |
| 作品名稱（其他語言） | |
| 著者 | Fu, C.-M.; Jhuang, N.-H.; Lin, Y.-L.; Sung, H.-M. |
| 單位 | 淡江大學數學學系 |
| 出版者 | Amsterdam: Elsevier BV * North-Holland |
| 著錄名稱、卷期、頁數 | Discrete Mathematics 312(12-13), pp.1931-1939 |
| 摘要 | 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. |
| 關鍵字 | Decomposition;Complete graph;Graph decomposition;Graph design;Crown graph;k-sun graph;Cycle system |
| 語言 | en |
| ISSN | 1872-681X |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | NLD |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/83434 ) |
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