Szeged and vertex PI Index of Graphs over Modules

Document Type : Research Articles

Authors

1 Department of Mathematics, Payame Noor University (PNU), Tehran‎, ‎Iran

2 Dept. of Math. Payam-e-Noor University, Tehran, Iran

Abstract

‎If we have a commutative ring $R$ and it is identified as $1\neq 0$ there is an $R$-module $M$‎, ‎$G_R(M)$ will denote the Scalar product graph of $M$‎. ‎Vertices of $G_R(M)$ are elements of $M$‎, ‎and $a$‎, ‎$b$ in $M$ are adjoining if $a=rb$ or $b=ra$ for some $r\in R$‎. ‎In this paper‎, ‎we investigate topological indices of the Scalar product graphs on some modules‎.

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