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math.AC2024★ 1 cited
A Graph-Theoretical Approach to Ring Analysis: An Exploration of Dominant Metric Dimension in Compressed Zero Divisor Graphs and Its Interplay with Ring Structures
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran Qureshi
The paper systematically classifies rings based on the dominant metric dimensions (Ddim) of their associated CZDG, establishing consequential bounds for the Ddim of these compresse…
math.AC2023
A Graph-Theoretic Approach to Ring Analysis: Dominant Metric Dimensions in Zero-Divisor Graphs
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran Qureshi
This article investigates the concept of dominant metric dimensions in zero divisor graphs (ZD-graphs) associated with rings. Consider a finite commutative ring with unity, denoted…