On the existence of (3,λ)‐semiframes of type 3u
On the existence of (3,λ)‐semiframes of type 3u
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DOI：
10.1002/jcd.20209
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发表时间：
2009-05
影响因子：
0.7
通讯作者：
H. Cao
中科院分区：
文献类型：
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作者：
H. Cao
一个gu型（k，λ）-半框是一个gu型（k，λ）-群可分设计，其中块的集合可以写成一个不交的并[1]，其中k被划分成k的平行类，k被划分成多孔平行类，每个多孔平行类是k\Gj的一个划分，对于某些Gj∈k。𝒳𝒢𝒳在本文中，我们将证明3u型（3，λ）-半框架的必要条件也是充分的，只有一个例外。© 2009 Wiley Periodicals，Inc. J Combin Designs 17：253-265，2009
A (k,λ)‐semiframe of type gu is a (k,λ)‐group‐divisible design of type gu (𝒳, 𝒢, ℬ︁), in which the collection of blocks ℬ︁ can be written as a disjoint union ℬ︁=𝒫∪ℒ︁ where ℒ︁ is partitioned into parallel classes of 𝒳 and 𝒫 is partitioned into holey parallel classes, each holey parallel class being a partition of 𝒳\Gj for some Gj∈𝒢. In this paper, we shall prove that the necessary conditions for (3,λ)‐semiframes of type 3u are also sufficient with one exception. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 253–265, 2009