| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4647496 | Discrete Mathematics | 2013 | 9 Pages |
Abstract
A kk-sun graph S(Ck)S(Ck) is a graph obtained from a kk-cycle by adding a pendent edge to each vertex of the kk-cycle. A kk-sun system of order vv is a decomposition of the complete graph KvKv into kk-sun graphs. In this paper, we find the necessary and sufficient condition for the existence of a 5-sun system of order vv. Moreover, we obtain cyclic 5-sun systems when n≡1,5(mod20) and 1-rotational 5-sun systems when n≡0(mod20).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Chin-Mei Fu, Ming-Hway Huang, Yuan-Lung Lin,