具有某些特殊周长的3连通图中最长环的弦

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-08-27 DOI:10.1016/j.dam.2025.08.040

Danning Wang, Jun Yue

引用次数: 0

摘要

1976年，Thomassen的和弦猜想指出，在3连通图中，每一个最长的循环都有一个和弦。在本文中，我们证明了它对任何具有小诱导周长或大诱导周长的3连通图都成立。

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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Chords of longest cycles in 3-connected graphs with some special circumferences

Thomassen’s chord conjecture from 1976 states that every longest cycle in a 3-connected graph has a chord. In this paper, we prove that it holds for any 3-connected graph with a small induced circumference or a large circumference.

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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.