Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648705 | Discrete Mathematics | 2010 | 14 Pages |
Abstract
Motivated by constructing cyclic simple designs, we consider how to decomposing all the triples of ZvZv into cyclic triple systems. Furthermore, we define a large set of cyclic triple systems to be a decomposition of triples of ZvZv into indecomposable cyclic designs. Constructions of decompositions and large sets are given. Some infinite classes of decompositions and large sets are obtained. Large sets of small vv with odd v<97v<97 are also given. As an application, the results are used to construct cyclic simple triple systems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Z. Tian, R. Wei,