一类加法Cayley签名图的若干性质

Pub Date : 2022-08-01 DOI:10.1051/wujns/2022274296

Yuqing Yuan, Weizhong Wang

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引用次数: 0

摘要

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。

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Some Properties of a Class of Addition Cayley Signed Graph

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].

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