负奇数循环签名图的图兰问题

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2024-11-26 DOI:10.1016/j.dam.2024.11.024

Junjie Wang , Yaoping Hou , Xueyi Huang

引用次数: 0

摘要

本文将研究有符号图上的自然图兰问题。让 C2k+1- 表示长度为 2k+1 且有一条负边的有符号循环。我们确定了所有阶数为 n 且无子图切换到 C2k+1- （其中 3≤k≤n10-1 ）的不平衡有符号图的最大边数，并描述了极值有符号图的特征。作为副产品，我们还得到了这些有符号图的最大谱半径。

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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Turán problem of signed graph for negative odd cycle

We investigate natural Turán problems on signed graphs in this paper. Let

C_{2 k + 1}^{-}

denote the signed cycle of length

2 k + 1

with one negative edge. We determine the maximum number of edges among all unbalanced signed graphs of order

n

with no subgraph switching to

C_{2 k + 1}^{-}

, where

3 \leq k \leq \frac{n}{10} - 1

, and characterize the extremal signed graphs. As a by-product, we also obtain the maximum spectral radius among these signed graphs.

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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.