{"title":"On the metric dimension of strongly annihilating-ideal graphs of commutative rings","authors":"V. Soleymanivarniab, R. Nikandish, A. Tehranian","doi":"10.2478/ausm-2020-0025","DOIUrl":null,"url":null,"abstract":"Abstract Let be a commutative ring with identity and 𝒜() be the set of ideals with non-zero annihilator. The strongly annihilating-ideal graph of is defined as the graph SAG() with the vertex set 𝒜 ()* = 𝒜 () \\{0} and two distinct vertices I and J are adjacent if and only if I ∩ Ann(J) ≠ (0) and J ∩ Ann(I) ≠ (0). In this paper, we study the metric dimension of SAG() and some metric dimension formulae for strongly annihilating-ideal graphs are given.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/ausm-2020-0025","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
Abstract Let be a commutative ring with identity and 𝒜() be the set of ideals with non-zero annihilator. The strongly annihilating-ideal graph of is defined as the graph SAG() with the vertex set 𝒜 ()* = 𝒜 () \{0} and two distinct vertices I and J are adjacent if and only if I ∩ Ann(J) ≠ (0) and J ∩ Ann(I) ≠ (0). In this paper, we study the metric dimension of SAG() and some metric dimension formulae for strongly annihilating-ideal graphs are given.
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
