论文标题
大量柯克曼三重系统的更多结果
More results on large sets of Kirkman triple systems
论文作者
论文摘要
大量柯克曼三重系统（LKTS）的存在是组合设计理论中最著名的开放问题之一。带有可分离的衍生设计（RDSQS）的Steiner四倍系统在LKTSS的递归结构中起着重要作用。在本文中，我们介绍了一种特殊的组合结构RDSQS*（v），并使用它为RDSQS（4V）介绍结构。结果，给出了一些新的无限型LKTS家族。
The existence of large sets of Kirkman triple systems (LKTSs) is one of the best-known open problems in combinatorial design theory. Steiner quadruple systems with resolvable derived designs (RDSQSs) play an important role in the recursive constructions of LKTSs. In this paper, we introduce a special combinatorial structure RDSQS*(v) and use it to present a construction for RDSQS(4v). As a consequence, some new infinite families of LKTSs are given.
