Rina Juliana, M. Masriani, I. G. A. W. Wardhana, N. W. Switrayni, I. Irwansyah
{"title":"COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS","authors":"Rina Juliana, M. Masriani, I. G. A. W. Wardhana, N. W. Switrayni, I. Irwansyah","doi":"10.14710/jfma.v3i1.7412","DOIUrl":null,"url":null,"abstract":"Coprime Graph is a geometric representation of a group in the form of undirectedgraph. The coprime graph of a group G, denoted by $\\Gamma_G$ is a graph whose vertices are all elements of group G; and two distinct vertices a and b are adjacent if and only if $(|a|,|b|)=1$. In this paper, we study coprime graph of integers modulo n group and its subgroups. One of the results is if n is a prime number, then coprime graph of integers modulo n group is a bipartite graph.","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fundamental Mathematics and Applications (JFMA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14710/jfma.v3i1.7412","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
Coprime Graph is a geometric representation of a group in the form of undirectedgraph. The coprime graph of a group G, denoted by $\Gamma_G$ is a graph whose vertices are all elements of group G; and two distinct vertices a and b are adjacent if and only if $(|a|,|b|)=1$. In this paper, we study coprime graph of integers modulo n group and its subgroups. One of the results is if n is a prime number, then coprime graph of integers modulo n group is a bipartite graph.
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