3 papers
math.CO2024
On Certain Bounds for Multiset Dimensions of Zero-Divisor Graphs Associated with Rings
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran Qureshi
This article investigates multiset dimensions in zero divisor graphs (ZD-graphs) associated with rings. Through rigorous analysis, we establish general bounds for the multiset dime…
math.CO2024
Exploring Ring Structures: Multiset Dimension Analysis in Compressed Zero-Divisor Graphs
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran Qureshi
This paper explores the concept of multiset dimensions (Mdim) of compressed zero-divisor graphs (CZDG) associated with rings. The authors investigate the interplay between the ring…
math.AC2024
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…