{"title":"变异单基因半群的零因子图的张量积","authors":"A. Akwu, Bana Al Subaiei","doi":"10.37575/b/sci/210038","DOIUrl":null,"url":null,"abstract":"The tensor product of zero-divisor graphs of variation monogenic semigroups Γ(VS_Mn^1) and Γ(VS_Mm^2) is studied. The vertices(x_1^i,x_2^j) and (x_1^k,x_2^f) of the tensor product of this graph are adjacent whenever gcd(i,k)=1,i+k>n,gcd(j,f)=1 ,j+f>m. Some properties of tensor product graphs are obtained, such as girth, diameter, chromatic, clique and domination numbers.","PeriodicalId":39024,"journal":{"name":"Scientific Journal of King Faisal University","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Tensor Product of Zero-Divisor Graphs of Variation Monogenic Semigroups\",\"authors\":\"A. Akwu, Bana Al Subaiei\",\"doi\":\"10.37575/b/sci/210038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The tensor product of zero-divisor graphs of variation monogenic semigroups Γ(VS_Mn^1) and Γ(VS_Mm^2) is studied. The vertices(x_1^i,x_2^j) and (x_1^k,x_2^f) of the tensor product of this graph are adjacent whenever gcd(i,k)=1,i+k>n,gcd(j,f)=1 ,j+f>m. Some properties of tensor product graphs are obtained, such as girth, diameter, chromatic, clique and domination numbers.\",\"PeriodicalId\":39024,\"journal\":{\"name\":\"Scientific Journal of King Faisal University\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scientific Journal of King Faisal University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37575/b/sci/210038\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Multidisciplinary\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Journal of King Faisal University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37575/b/sci/210038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Multidisciplinary","Score":null,"Total":0}
The Tensor Product of Zero-Divisor Graphs of Variation Monogenic Semigroups
The tensor product of zero-divisor graphs of variation monogenic semigroups Γ(VS_Mn^1) and Γ(VS_Mm^2) is studied. The vertices(x_1^i,x_2^j) and (x_1^k,x_2^f) of the tensor product of this graph are adjacent whenever gcd(i,k)=1,i+k>n,gcd(j,f)=1 ,j+f>m. Some properties of tensor product graphs are obtained, such as girth, diameter, chromatic, clique and domination numbers.
期刊介绍:
The scientific Journal of King Faisal University is a biannual refereed scientific journal issued under the guidance of the University Scientific Council. The journal also publishes special and supplementary issues when needed. The first volume was published on 1420H-2000G. The journal publishes two separate issues: Humanities and Management Sciences issue, classified in the Arab Impact Factor index, and Basic and Applied Sciences issue, on June and December, and indexed in (CABI) and (SCOPUS) international databases.