Further results on large sets plus of partitioned incomplete Latin squares

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2024-08-19 DOI:10.1016/j.disc.2024.114215

Hong Lu, Haitao Cao

引用次数: 0

Abstract

In this paper, we continue to study the existence of large sets plus of partitioned incomplete Latin squares of type $g^{n} {(u g)}^{1}$ , denoted by LSPILS $^{+} (g^{n} {(u g)}^{1})$ . We almost solve the existence of an LSPILS $^{+} (g^{n} {(u g)}^{1})$ for any integer $g \geq 1$ and $u = 3, 4$ with some possible exceptions.

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分区不完全拉丁正方形大集合加的进一步结果

在本文中，我们继续研究gn(ug)1 类型的分割不完全拉丁正方形的大集合加的存在性，用 LSPILS+(gn(ug)1) 表示。对于任意整数 g≥1 和 u=3,4，我们几乎求解出了 LSPILS+(gn(ug)1)的存在性，但也有一些可能的例外。

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.