The spectrum of ?-resolvable designs with block size four
The spectrum of ?-resolvable designs with block size four
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DOI：
10.1002/1520-6610(2001)9:1
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发表时间：
2001
影响因子：
0.7
通讯作者：
Troy Vasiga;S. Furino;A. Ling
中科院分区：
文献类型：
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作者：
Troy Vasiga;S. Furino;A. Ling
摘要：α-可分解的BIBD是一种BIBD，它具有这样的性质，即块可以被划分为不相交的类，使得每个类包含设计的每个点正好α次。本文证明了除（α，ν，λ）=（2，10，2）外，区组大小为4的α-可分解设计存在的必要条件是充分的.© 2000 John Wiley & Sons，Inc. J Combin Designs 9：1-16，2001
Abstact: An α-resolvable BIBD is a BIBD with the property that the blocks can be partitioned into disjoint classes such that every class contains each point of the design exactly α times. In this paper, we show that the necessary conditions for the existence of α-resolvable designs with block size four are sufficient, with the exception of (α, ν, λ) = (2, 10, 2). © 2000 John Wiley & Sons, Inc. J Combin Designs 9: 1–16, 2001