Small matchings extend to Hamiltonian cycles in hypercubes with disjoint faulty edges

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2024-12-02 DOI:10.1016/j.dam.2024.11.030

Fan Wang

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引用次数: 0

Abstract

Fault tolerance is an important indicator for measuring network stability. Usually, we hope to ensure the normal transmission of information and data in the event of partial failures in the network, which requires the network to have a certain degree of fault tolerance. The hypercube

Q_{n}

is one of the most popular and efficient interconnection networks. We consider the question of a matching extending to a Hamiltonian cycle in

Q_{n}

with disjoint faulty edges, and obtain the following result. For

n \geq 5

, let

M

be a matching of

Q_{n}

, and

F

be a matching of

Q_{n} - M

such that

| M | + | F | \leq 3 n - 12

. Then there exists a Hamiltonian cycle containing

M

Q_{n} - F

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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.