| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4648227 | Discrete Mathematics | 2012 | 9 Pages |
Abstract
A kk-sun graph S(Ck)S(Ck) is obtained from the cycle of length kk, CkCk, by adding a pendant edge to each vertex of CkCk. A kk-sun system of order vv is a decomposition of the complete graph KvKv into kk-sun graphs. In this paper, we use a difference method to obtain kk-sun systems of all possible orders for k=6,10,14k=6,10,14 and 2t2t where tt is a positive integer at least 2. More precisely, we obtain cyclic kk-sun systems of odd order and 1-rotational kk-sun systems of even order when the order is greater than 4k4k.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
C.-M. Fu, N.-H. Jhuang, Y.-L. Lin, H.-M. Sung,