折叠超立方体的强匹配排除

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-09-02 DOI:10.1016/j.dam.2025.08.045

Zhicheng Lin, Ruizhi Lin

引用次数: 0

摘要

G的强匹配排除数是指删除后的图得不到完美匹配或几乎完美匹配的顶点和边的最小数量。这个概念是由Park和Son引入的，用于扩展经典的匹配排除问题。本文研究了折叠超立方体FQn的强匹配排除问题，它是超立方体的一个重要变体。我们表明，即使n大于或等于n大于或等于4，FQn的强匹配排除数为n+1。

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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Strong matching preclusion for folded hypercubes

The strong matching preclusion number of

G

is the minimum number of vertices and edges whose deletion leaves the resulting graph without a perfect matching or an almost perfect matching. This concept was introduced by Park and Son to extending the classic matching preclusion problem. In this paper, we focus on strong matching preclusion for folded hypercube

F Q_{n}

, an important variant of hypercube. We show that strong matching preclusion number of

F Q_{n}

n + 1

for even

n ⩾ 4

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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.