An Ideal-Based Zero-Divisor Graph of a Commutative Ring

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Zero-Divisor Graph with Respect to an Ideal (2006, background): “Redmond (2003) introduced the definition of the zero-divisor graph with respect to an ideal.”
A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors (2007, background): “This graph has some advantages over the earlier zero divisor graph R in [2–5], or subsequent zero divisor graph determined by an ideal of R in [8, 11].”
Classification of Rings with Genus One Zero-Divisor Graphs (2008, background): “In [ 17 ], Redmond introduced the notion of an ideal based zero-divisor graph, generalizing the notion of i(R) and this idea is pursued further in [12].”
On the metric dimension of a zero-divisor graph (2017, background): “Redmond [21] also extended the zero-divisor of a commutative ring to an ideal-based zero-divisor graph of a commutative ring.”
On Zero Divisor Graphs (2012, background): “17 ([31]).”