A Poisson limit for the number of sub-matrices of random binary matrices satisfying the majority rule

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-10-03 DOI:10.1016/j.dam.2025.09.004

Italo Simonelli , Andreas Wendemuth

引用次数: 0

Abstract

We consider

m \times n

random binary matrices,

m = m (n)

. For arbitrary odd integer

k

we investigate the asymptotic distribution of the random number of sub-matrices of size

k \times n

for which the number of ones in every column satisfies the majority rule. We discuss possible impacts of our result and give examples of applications.

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满足多数原则的随机二值矩阵的子矩阵数的泊松极限

我们考虑m×n随机二元矩阵，m=m(n)。对于任意奇数k，我们研究了大小为k×n且每列1的个数满足多数决原则的随机数子矩阵的渐近分布。我们讨论了我们的结果可能产生的影响，并给出了应用实例。

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 Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.