The edge chromatic number of $\Gamma_{I}(R)$

For a commutative ring $R$ and an ideal $I$ of $R$, the ideal-based zero-divisor graph is the undirected graph $\Gamma_{I}(R)$ with vertices $\{x\in R-I\colon xy\in I \text{ for some } y\in R-I\}$, where distinct vertices $x$ and $y$ are adjacent if and only if $xy\in I$. In this paper, we discuss the nature of the edges of $\Gamma_{I}(R)$. We also find the edge chromatic number for the graph $\Gamma_{I}(R)$.