{"title":"SIFAT-SIFAT GRAF PEMBAGI NOL PADA GELANGGANG POLINOM KUOSIEN (Z_p [x])/〈x^(n+1) 〉 ×(Z_q [x])/〈x^(n+1) 〉","authors":"Daisyah Alfian Fatahillah, Ni Wayan Switrayni","doi":"10.29303/emj.v1i2.51","DOIUrl":null,"url":null,"abstract":"Zero-divisor graph is an undirectedgraphwhose vertices are zero-divisors of a commutative ring and edges defined as if and only if .Wicaksono (2013) gave some characteristics of graph zero-divisor in the modulary integer ring. This research aims to represent the zero-divisor elements of the polynomial kuosien ring where are prime numbers and into a graph called the zero-divisor graph The method used in this research is a deduktive method. The result shows that the zero divisor graph obtained from polynomial kuosien ring is complete bipartit graph with some characteristics related to its girth, ecccentricity, radius and diameter.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"117 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"EIGEN MATHEMATICS JOURNAL","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29303/emj.v1i2.51","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
Zero-divisor graph is an undirectedgraphwhose vertices are zero-divisors of a commutative ring and edges defined as if and only if .Wicaksono (2013) gave some characteristics of graph zero-divisor in the modulary integer ring. This research aims to represent the zero-divisor elements of the polynomial kuosien ring where are prime numbers and into a graph called the zero-divisor graph The method used in this research is a deduktive method. The result shows that the zero divisor graph obtained from polynomial kuosien ring is complete bipartit graph with some characteristics related to its girth, ecccentricity, radius and diameter.