(1, 2)-resolvable candelabra quadruple systems and Steiner quadruple systems
(1, 2)-resolvable candelabra quadruple systems and Steiner quadruple systems
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DOI：
10.1016/j.disc.2012.03.016
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发表时间：
2012-07
期刊：
影响因子：
--
通讯作者：
Zhaoping Meng;Jian Wang;B. Du
中科院分区：
文献类型：
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作者：
Zhaoping Meng;Jian Wang;B. Du
（1，α）-可分解烛台四极系统在（1，α）-可分解Steiner四极系统的构造中起着重要的作用.本文研究了具有三个群的（1，2）-可分解烛台四元系统，证明了当g为偶数时，（1，2）-RCQS（g3：s）存在的必要条件也是充分的.作为其应用，我们改进了（1，2）-可分解Steiner四元系的已有结果.
(1,α)-resolvable candelabra quadruple systems play an important role in the construction of (1,α)-resolvable Steiner quadruple systems. In this paper, we consider (1,2)-resolvable candelabra quadruple systems with three groups and show that the necessary conditions on the existence of (1,2)-RCQS(g3:s) when g is even are also sufficient. As its application, we improve the existing result on (1,2)-resolvable Steiner quadruple systems.