A note on ideal based zero-divisor graph of a commutative ring

In this paper, we consider the ideal based zero divisor graph $Γ_I(R)$ of a commutative ring $R$. We discuss some graph theoretical properties of $Γ_I(R)$ in relation with zero divisor graph. We also relate certain parameters like vertex chromatic number, maximum degree and minimum degree for the graph $Γ_I(R)$ with that of $Γ(R/I)$. Further we determine a necessary and sufficient condition for the graph to be Eulerian and regular.