Some Properties of a Class of Addition Cayley Signed Graph

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2022-08-01 DOI:10.1051/wujns/2022274296

Yuqing Yuan, Weizhong Wang

引用次数: 0

Abstract

Let [see formula in PDF] be a simple graph having vertex set [see formula in PDF]and edge set [see formula in PDF], where all [see formula in PDF] are distinct prime factors and [see formula in PDF] is the set of all units of the ring [see formula in PDF]be a signed graph whose underlying graph is [see formula in PDF] and signature function is [see formula in PDF] defined as [see formula in PDF]In this paper, we characterize the balance of [see formula in PDF] and some graphs derived from it such as [see formula in PDF], [see formula in PDF] and [see formula in PDF]. Moreover, we investigate the clusterability and sign-compativility of [see formula in PDF].

查看原文本刊更多论文

一类加法Cayley签名图的若干性质

设[见PDF公式]是一个具有顶点集[见PDF公式]和边集[见PDF公式]的简单图，其中所有[见PDF公式]都是不同的素数因子，[见PDF公式]是环的所有单位的集合[见PDF公式]是一个签名图，其底层图为[见PDF公式]，签名函数为[见PDF公式]定义为[见PDF公式]。我们描述了[见PDF中的公式]和由它衍生的一些图表，如[见PDF中的公式]，[见PDF中的公式]和[见PDF中的公式]。此外，我们研究了聚类性和符号兼容性[见PDF中的公式]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.