{"title":"Some Properties of a Class of Addition Cayley Signed Graph","authors":"Yuqing Yuan, Weizhong Wang","doi":"10.1051/wujns/2022274296","DOIUrl":null,"url":null,"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].","PeriodicalId":56925,"journal":{"name":"","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1051/wujns/2022274296","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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].
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