无C−k符号图的最大特征值

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-04-19 DOI:10.1016/j.dam.2025.04.037

Yongang Wang, Huiqiu Lin

引用次数: 0

摘要

设 Ck- 是所有负 Ck 的集合。对于奇数周期，Wang、Hou 和 Li (2024) 给出了不平衡有符号图中负 C3 存在的谱条件。对于偶数周期，我们确定了所有无 C4 不平衡有符号图中的最大指数，并在本文中完全描述了极值有符号图的特征。这可以看作是 Nikiforov (2007) 和 Zhai and Wang (2012) 成果的有符号图版本。

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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The largest eigenvalue of C−k-free signed graphs

Let

C_{k}^{-}

be the set of all negative

C_{k}

. For odd cycle, Wang, Hou and Li (2024) gave a spectral condition for the existence of negative

C_{3}

in unbalanced signed graphs. For even cycle, we determine the maximum index among all

C_{4}^{-}

-free unbalanced signed graphs and completely characterize the extremal signed graph in this paper. This could be regarded as a signed graph version of the results by Nikiforov (2007) and Zhai and Wang (2012).

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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.