The Tensor Product of Zero-Divisor Graphs of Variation Monogenic Semigroups

Q4 Multidisciplinary

Scientific Journal of King Faisal University Pub Date : 2021-01-01 DOI:10.37575/b/sci/210038

A. Akwu, Bana Al Subaiei

引用次数: 0

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.

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变异单基因半群的零因子图的张量积

研究了变异单基因半群Γ(VS_Mn^1)和Γ(VS_Mm^2)的零因子图的张量积。这个图的张量积的顶点(x_1^i,x_2^j)和(x_1^k,x_2^f)相邻每当gcd(i,k)=1,i+k>n,gcd(j,f)=1,j+f>m。得到了张量积图的周长、直径、色、团和支配数等性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Scientific Journal of King Faisal University Multidisciplinary-Multidisciplinary

CiteScore

0.60

自引率

0.00%

发文量

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.