组块大小为 4，组块大小为 4 和 7 的可分割设计

IF 0.5 4区数学 Q3 MATHEMATICS Journal of Combinatorial Designs Pub Date : 2024-03-28 DOI:10.1002/jcd.21932

R. Julian R. Abel, Thomas Britz, Yudhistira A. Bunjamin, Diana Combe

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引用次数: 0

摘要

在本文中，我们考虑了块大小为 4 $4$、组大小为 4 $4$ 和 7 $7$ 的组可分割设计（GDD）的存在性。我们证明，除了 ( t , s ) $(t,s)$的可行值的有限指定集合外，存在一个 4 $4$ 类型为 4 t 7 s ${4}^{t}{7}^{s}$ 的 4 $4$ -GDD 。

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Group divisible designs with block size 4 and group sizes 4 and 7

In this paper, we consider the existence of group divisible designs (GDDs) with block size $4$ and group sizes $4$ and $7$ . We show that there exists a $4$ -GDD of type $4^{t} 7^{s}$ for all but a finite specified set of feasible values for $(t, s)$ .

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来源期刊

Journal of Combinatorial Designs 数学-数学

CiteScore

1.60

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Combinatorial Designs is an international journal devoted to the timely publication of the most influential papers in the area of combinatorial design theory. All topics in design theory, and in which design theory has important applications, are covered, including: block designs, t-designs, pairwise balanced designs and group divisible designs Latin squares, quasigroups, and related algebras computational methods in design theory construction methods applications in computer science, experimental design theory, and coding theory graph decompositions, factorizations, and design-theoretic techniques in graph theory and extremal combinatorics finite geometry and its relation with design theory. algebraic aspects of design theory. Researchers and scientists can depend on the Journal of Combinatorial Designs for the most recent developments in this rapidly growing field, and to provide a forum for both theoretical research and applications. All papers appearing in the Journal of Combinatorial Designs are carefully peer refereed.