Cyclic balanced sampling plans avoiding adjacent units with block size four

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-03-18 DOI:10.1016/j.disc.2025.114490

Zian Zhang, Yanxun Chang , Tao Feng

引用次数: 0

Abstract

Balanced sampling plans avoiding adjacent units can be utilized for survey sampling when the units are arranged in one-dimensional ordering and the adjacent units in this ordering provide similar information. The existence of such a balanced sampling plan is equivalent to the existence of a k-clique decomposition of a special Cayley graph over a cyclic group. This paper completely determines the spectrum of cyclic balanced sampling plans avoiding adjacent units with maximum distance five and block size four.

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循环平衡抽样计划避免相邻单元块大小为4

当单元按一维顺序排列，且该顺序的相邻单元提供相似的信息时，可以使用避免相邻单元的平衡抽样方案进行调查抽样。这种平衡抽样方案的存在性等价于循环群上特殊Cayley图的k-团分解的存在性。本文完全确定了避免最大距离为5、块大小为4的相邻单元的循环平衡采样方案的频谱。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.