کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627841 | 1631819 | 2014 | 6 صفحه PDF | دانلود رایگان |
In Das et al. (2013) [8], a new graph Γ(SM)Γ(SM) on monogenic semigroups SMSM (with zero) having elements {0,x,x2,x3,…,xn}{0,x,x2,x3,…,xn} has been recently defined. The vertices are the non-zero elements x,x2,x3,…,xnx,x2,x3,…,xn and, for 1⩽i,j⩽n1⩽i,j⩽n, any two distinct vertices xixi and xjxj are adjacent if xixj=0xixj=0 in SMSM. As a continuing study, in Akgunes et al. (2014) [3], it has been investigated some well known indices (first Zagreb index, second Zagreb index, Randić index, geometric–arithmetic index, atom-bond connectivity index, Wiener index, Harary index, first and second Zagreb eccentricity indices, eccentric connectivity index, the degree distance) over Γ(SM)Γ(SM).In the light of above references, our main aim in this paper is to extend these studies over Γ(SM)Γ(SM) to the tensor product. In detail, we will investigate the diameter, radius, girth, maximum and minimum degree, chromatic number, clique number and domination number for the tensor product of any two (not necessarily different) graphs Γ(SM1) and Γ(SM2).
Journal: Applied Mathematics and Computation - Volume 235, 25 May 2014, Pages 352–357