Two new direct product-type constructions for resolvable group-divisible designs
Two new direct product-type constructions for resolvable group-divisible designs
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DOI：
10.1002/jcd.3180010104
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发表时间：
1993
影响因子：
0.7
通讯作者：
R. Rees
中科院分区：
文献类型：
--
作者：
R. Rees
我们提出了两个直接的产品类型的建设，这将被证明是有用的可分解设计的建设。我们用我们的构造完成了区组大小为3的可分解群可分设计的谱，并给出了一个简短的证明，证明了对于任意a，B，n，当a +2 B = 6 n − 1且a > 1时，K6 n分解为a-因子和B三角因子的存在性。John Wiley & Sons，Inc.
We present two direct product-type constructions which will prove useful in the construction of resolvable designs. We use our constructions to complete the spectrum for resolvable group-divisible designs with block size three, as well as to give a short proof of the existence of decompositions of K6n into a one-factors and b triangle-factors for any a, b, n with a + 2b = 6n − 1 and a > 1. © 1993 John Wiley & Sons, Inc.