Article ID Journal Published Year Pages File Type
4648705 Discrete Mathematics 2010 14 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, ,