Document Type : Research Article
Authors
1 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697 Tehran, Iran
2 Department of Mathematics University of Mazandaran Babolsar, Iran
3 Department of Mathematics, Payame Noor University (PNU) Tehran, Iran
Abstract
In this study, $R$ and $M$ are assumed to be a commutative ring with non-zero identity $M$ and an $R$-module, respectively. Scalar Product Graph of $M$, denoted by $G_R(M)$, is a graph with the vertex-set $M$ and two different vertices $a$ and $b$ in $M$ are connected if and only if there exists $r$ belong to $R$ such that $a=rb$ or $b=ra$. This paper studies some properties of such weakly perfect graphs.
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